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Finding the Fourth Proportional to 52,134, 78,004.17 and 32,319.78

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Solution

The fourth proportional to 52,134, 78,004.17 and 32,319.78 is: 48,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,134 : 78,004.17 = 32,319.78 : x
  2. Step 2: Convert to fraction form
    52,134/78,004.17 = 32,319.78/x
  3. Step 3: Cross multiply
    52,134x = 78,004.17 × 32,319.78
  4. Step 4: Simplify right side
    52,134x = 2,521,077,613.48
  5. Step 5: Solve for x
    x = 2,521,077,613.48/52,134
  6. Step 6: Final answer
    x = 48,357.65

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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.