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Finding the Fourth Proportional to 38,502.31, 57,755.51 and 10,802.47

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Solution

The fourth proportional to 38,502.31, 57,755.51 and 10,802.47 is: 16,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.31 : 57,755.51 = 10,802.47 : x
  2. Step 2: Convert to fraction form
    38,502.31/57,755.51 = 10,802.47/x
  3. Step 3: Cross multiply
    38,502.31x = 57,755.51 × 10,802.47
  4. Step 4: Simplify right side
    38,502.31x = 623,902,164.11
  5. Step 5: Solve for x
    x = 623,902,164.11/38,502.31
  6. Step 6: Final answer
    x = 16,204.28

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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.