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Finding the Fourth Proportional to 42,760.68, 64,143.18 and 13,198.74

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Solution

The fourth proportional to 42,760.68, 64,143.18 and 13,198.74 is: 19,798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,760.68 : 64,143.18 = 13,198.74 : x
  2. Step 2: Convert to fraction form
    42,760.68/64,143.18 = 13,198.74/x
  3. Step 3: Cross multiply
    42,760.68x = 64,143.18 × 13,198.74
  4. Step 4: Simplify right side
    42,760.68x = 846,609,155.59
  5. Step 5: Solve for x
    x = 846,609,155.59/42,760.68
  6. Step 6: Final answer
    x = 19,798.78

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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.