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Finding the Fourth Proportional to 59,778.88, 82,467.14 and 38,565

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Solution

The fourth proportional to 59,778.88, 82,467.14 and 38,565 is: 53,201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,778.88 : 82,467.14 = 38,565 : x
  2. Step 2: Convert to fraction form
    59,778.88/82,467.14 = 38,565/x
  3. Step 3: Cross multiply
    59,778.88x = 82,467.14 × 38,565
  4. Step 4: Simplify right side
    59,778.88x = 3,180,345,254.10
  5. Step 5: Solve for x
    x = 3,180,345,254.10/59,778.88
  6. Step 6: Final answer
    x = 53,201.82

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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.