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Finding the Fourth Proportional to 42,806.43, 59,077.32 and 24,657.78

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Solution

The fourth proportional to 42,806.43, 59,077.32 and 24,657.78 is: 34,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806.43 : 59,077.32 = 24,657.78 : x
  2. Step 2: Convert to fraction form
    42,806.43/59,077.32 = 24,657.78/x
  3. Step 3: Cross multiply
    42,806.43x = 59,077.32 × 24,657.78
  4. Step 4: Simplify right side
    42,806.43x = 1,456,715,559.55
  5. Step 5: Solve for x
    x = 1,456,715,559.55/42,806.43
  6. Step 6: Final answer
    x = 34,030.30

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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.