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Finding the Fourth Proportional to 42,534.72, 58,689.36 and 25,758

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Solution

The fourth proportional to 42,534.72, 58,689.36 and 25,758 is: 35,540.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,534.72 : 58,689.36 = 25,758 : x
  2. Step 2: Convert to fraction form
    42,534.72/58,689.36 = 25,758/x
  3. Step 3: Cross multiply
    42,534.72x = 58,689.36 × 25,758
  4. Step 4: Simplify right side
    42,534.72x = 1,511,720,534.88
  5. Step 5: Solve for x
    x = 1,511,720,534.88/42,534.72
  6. Step 6: Final answer
    x = 35,540.86

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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.