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Finding the Fourth Proportional to 38,462.33, 57,541.78 and 29,129.31

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Solution

The fourth proportional to 38,462.33, 57,541.78 and 29,129.31 is: 43,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.33 : 57,541.78 = 29,129.31 : x
  2. Step 2: Convert to fraction form
    38,462.33/57,541.78 = 29,129.31/x
  3. Step 3: Cross multiply
    38,462.33x = 57,541.78 × 29,129.31
  4. Step 4: Simplify right side
    38,462.33x = 1,676,152,220.13
  5. Step 5: Solve for x
    x = 1,676,152,220.13/38,462.33
  6. Step 6: Final answer
    x = 43,579.06

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