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Finding the Fourth Proportional to 52,134.34, 78,201.66 and 12,691.39

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Solution

The fourth proportional to 52,134.34, 78,201.66 and 12,691.39 is: 19,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,134.34 : 78,201.66 = 12,691.39 : x
  2. Step 2: Convert to fraction form
    52,134.34/78,201.66 = 12,691.39/x
  3. Step 3: Cross multiply
    52,134.34x = 78,201.66 × 12,691.39
  4. Step 4: Simplify right side
    52,134.34x = 992,487,765.71
  5. Step 5: Solve for x
    x = 992,487,765.71/52,134.34
  6. Step 6: Final answer
    x = 19,037.12

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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.