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Finding the Fourth Proportional to 52,522.39, 78,763.02 and 18,319.53

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Solution

The fourth proportional to 52,522.39, 78,763.02 and 18,319.53 is: 27,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,522.39 : 78,763.02 = 18,319.53 : x
  2. Step 2: Convert to fraction form
    52,522.39/78,763.02 = 18,319.53/x
  3. Step 3: Cross multiply
    52,522.39x = 78,763.02 × 18,319.53
  4. Step 4: Simplify right side
    52,522.39x = 1,442,901,113.97
  5. Step 5: Solve for x
    x = 1,442,901,113.97/52,522.39
  6. Step 6: Final answer
    x = 27,472.12

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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.