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Finding the Fourth Proportional to 52,233.43, 78,176.85 and 47,564.20

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Solution

The fourth proportional to 52,233.43, 78,176.85 and 47,564.20 is: 71,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,233.43 : 78,176.85 = 47,564.20 : x
  2. Step 2: Convert to fraction form
    52,233.43/78,176.85 = 47,564.20/x
  3. Step 3: Cross multiply
    52,233.43x = 78,176.85 × 47,564.20
  4. Step 4: Simplify right side
    52,233.43x = 3,718,419,328.77
  5. Step 5: Solve for x
    x = 3,718,419,328.77/52,233.43
  6. Step 6: Final answer
    x = 71,188.50

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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.