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Finding the Fourth Proportional to 33,509.91, 49,897.56 and 32,312.52

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Solution

The fourth proportional to 33,509.91, 49,897.56 and 32,312.52 is: 48,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.91 : 49,897.56 = 32,312.52 : x
  2. Step 2: Convert to fraction form
    33,509.91/49,897.56 = 32,312.52/x
  3. Step 3: Cross multiply
    33,509.91x = 49,897.56 × 32,312.52
  4. Step 4: Simplify right side
    33,509.91x = 1,612,315,905.45
  5. Step 5: Solve for x
    x = 1,612,315,905.45/33,509.91
  6. Step 6: Final answer
    x = 48,114.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.