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Finding the Fourth Proportional to 78,375, 108,157.70 and 42,565.62

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Solution

The fourth proportional to 78,375, 108,157.70 and 42,565.62 is: 58,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,375 : 108,157.70 = 42,565.62 : x
  2. Step 2: Convert to fraction form
    78,375/108,157.70 = 42,565.62/x
  3. Step 3: Cross multiply
    78,375x = 108,157.70 × 42,565.62
  4. Step 4: Simplify right side
    78,375x = 4,603,799,558.27
  5. Step 5: Solve for x
    x = 4,603,799,558.27/78,375
  6. Step 6: Final answer
    x = 58,740.66

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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.