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Finding the Fourth Proportional to 42,761.92, 64,148.80 and 13,182.08

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Solution

The fourth proportional to 42,761.92, 64,148.80 and 13,182.08 is: 19,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,761.92 : 64,148.80 = 13,182.08 : x
  2. Step 2: Convert to fraction form
    42,761.92/64,148.80 = 13,182.08/x
  3. Step 3: Cross multiply
    42,761.92x = 64,148.80 × 13,182.08
  4. Step 4: Simplify right side
    42,761.92x = 845,614,613.50
  5. Step 5: Solve for x
    x = 845,614,613.50/42,761.92
  6. Step 6: Final answer
    x = 19,774.94

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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.