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Finding the Fourth Proportional to 32,805,349.40, 49,208,024.12 and 32,805,349.40

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Solution

The fourth proportional to 32,805,349.40, 49,208,024.12 and 32,805,349.40 is: 49,208,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805,349.40 : 49,208,024.12 = 32,805,349.40 : x
  2. Step 2: Convert to fraction form
    32,805,349.40/49,208,024.12 = 32,805,349.40/x
  3. Step 3: Cross multiply
    32,805,349.40x = 49,208,024.12 × 32,805,349.40
  4. Step 4: Simplify right side
    32,805,349.40x = 1,614,286,424,540,227.25
  5. Step 5: Solve for x
    x = 1,614,286,424,540,227.25/32,805,349.40
  6. Step 6: Final answer
    x = 49,208,024.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.