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Finding the Fourth Proportional to 42,708.63, 58,842 and 29,775.90

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Solution

The fourth proportional to 42,708.63, 58,842 and 29,775.90 is: 41,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,708.63 : 58,842 = 29,775.90 : x
  2. Step 2: Convert to fraction form
    42,708.63/58,842 = 29,775.90/x
  3. Step 3: Cross multiply
    42,708.63x = 58,842 × 29,775.90
  4. Step 4: Simplify right side
    42,708.63x = 1,752,073,507.80
  5. Step 5: Solve for x
    x = 1,752,073,507.80/42,708.63
  6. Step 6: Final answer
    x = 41,023.88

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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.