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Finding the Fourth Proportional to 32,048.40, 48,044.76 and 15,400.08

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Solution

The fourth proportional to 32,048.40, 48,044.76 and 15,400.08 is: 23,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.40 : 48,044.76 = 15,400.08 : x
  2. Step 2: Convert to fraction form
    32,048.40/48,044.76 = 15,400.08/x
  3. Step 3: Cross multiply
    32,048.40x = 48,044.76 × 15,400.08
  4. Step 4: Simplify right side
    32,048.40x = 739,893,147.58
  5. Step 5: Solve for x
    x = 739,893,147.58/32,048.40
  6. Step 6: Final answer
    x = 23,086.74

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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.