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Finding the Fourth Proportional to 42,566.52, 58,725.80 and 24,655

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Solution

The fourth proportional to 42,566.52, 58,725.80 and 24,655 is: 34,014.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,566.52 : 58,725.80 = 24,655 : x
  2. Step 2: Convert to fraction form
    42,566.52/58,725.80 = 24,655/x
  3. Step 3: Cross multiply
    42,566.52x = 58,725.80 × 24,655
  4. Step 4: Simplify right side
    42,566.52x = 1,447,884,599
  5. Step 5: Solve for x
    x = 1,447,884,599/42,566.52
  6. Step 6: Final answer
    x = 34,014.63

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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.