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Finding the Fourth Proportional to 42,417, 58,540.86 and 25,650.12

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Solution

The fourth proportional to 42,417, 58,540.86 and 25,650.12 is: 35,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,417 : 58,540.86 = 25,650.12 : x
  2. Step 2: Convert to fraction form
    42,417/58,540.86 = 25,650.12/x
  3. Step 3: Cross multiply
    42,417x = 58,540.86 × 25,650.12
  4. Step 4: Simplify right side
    42,417x = 1,501,580,083.90
  5. Step 5: Solve for x
    x = 1,501,580,083.90/42,417
  6. Step 6: Final answer
    x = 35,400.43

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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.