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Finding the Fourth Proportional to 42,689.60, 64,034.40 and 27,124.80

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Solution

The fourth proportional to 42,689.60, 64,034.40 and 27,124.80 is: 40,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,689.60 : 64,034.40 = 27,124.80 : x
  2. Step 2: Convert to fraction form
    42,689.60/64,034.40 = 27,124.80/x
  3. Step 3: Cross multiply
    42,689.60x = 64,034.40 × 27,124.80
  4. Step 4: Simplify right side
    42,689.60x = 1,736,920,293.12
  5. Step 5: Solve for x
    x = 1,736,920,293.12/42,689.60
  6. Step 6: Final answer
    x = 40,687.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.