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Finding the Fourth Proportional to 42,562.71, 58,734 and 24,656.49

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Solution

The fourth proportional to 42,562.71, 58,734 and 24,656.49 is: 34,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,562.71 : 58,734 = 24,656.49 : x
  2. Step 2: Convert to fraction form
    42,562.71/58,734 = 24,656.49/x
  3. Step 3: Cross multiply
    42,562.71x = 58,734 × 24,656.49
  4. Step 4: Simplify right side
    42,562.71x = 1,448,174,283.66
  5. Step 5: Solve for x
    x = 1,448,174,283.66/42,562.71
  6. Step 6: Final answer
    x = 34,024.48

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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.