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Finding the Fourth Proportional to 78,502.53, 117,753.84 and 23,098.53

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Solution

The fourth proportional to 78,502.53, 117,753.84 and 23,098.53 is: 34,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,502.53 : 117,753.84 = 23,098.53 : x
  2. Step 2: Convert to fraction form
    78,502.53/117,753.84 = 23,098.53/x
  3. Step 3: Cross multiply
    78,502.53x = 117,753.84 × 23,098.53
  4. Step 4: Simplify right side
    78,502.53x = 2,719,940,605.86
  5. Step 5: Solve for x
    x = 2,719,940,605.86/78,502.53
  6. Step 6: Final answer
    x = 34,647.81

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Why These Related Problems?

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