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Finding the Fourth Proportional to 32,502.71, 48,760.11 and 10,310.10

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Solution

The fourth proportional to 32,502.71, 48,760.11 and 10,310.10 is: 15,467.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,502.71 : 48,760.11 = 10,310.10 : x
  2. Step 2: Convert to fraction form
    32,502.71/48,760.11 = 10,310.10/x
  3. Step 3: Cross multiply
    32,502.71x = 48,760.11 × 10,310.10
  4. Step 4: Simplify right side
    32,502.71x = 502,721,610.11
  5. Step 5: Solve for x
    x = 502,721,610.11/32,502.71
  6. Step 6: Final answer
    x = 15,467.07

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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.