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Finding the Fourth Proportional to 42,842.32, 59,123.13 and 23,462.94

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Solution

The fourth proportional to 42,842.32, 59,123.13 and 23,462.94 is: 32,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,842.32 : 59,123.13 = 23,462.94 : x
  2. Step 2: Convert to fraction form
    42,842.32/59,123.13 = 23,462.94/x
  3. Step 3: Cross multiply
    42,842.32x = 59,123.13 × 23,462.94
  4. Step 4: Simplify right side
    42,842.32x = 1,387,202,451.80
  5. Step 5: Solve for x
    x = 1,387,202,451.80/42,842.32
  6. Step 6: Final answer
    x = 32,379.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.