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Finding the Fourth Proportional to 42,657.52, 58,866.24 and 24,507.76

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Solution

The fourth proportional to 42,657.52, 58,866.24 and 24,507.76 is: 33,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,657.52 : 58,866.24 = 24,507.76 : x
  2. Step 2: Convert to fraction form
    42,657.52/58,866.24 = 24,507.76/x
  3. Step 3: Cross multiply
    42,657.52x = 58,866.24 × 24,507.76
  4. Step 4: Simplify right side
    42,657.52x = 1,442,679,682.02
  5. Step 5: Solve for x
    x = 1,442,679,682.02/42,657.52
  6. Step 6: Final answer
    x = 33,820.06

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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.