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Finding the Fourth Proportional to 83,310.86, 114,972.04 and 47,500.49

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Solution

The fourth proportional to 83,310.86, 114,972.04 and 47,500.49 is: 65,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,310.86 : 114,972.04 = 47,500.49 : x
  2. Step 2: Convert to fraction form
    83,310.86/114,972.04 = 47,500.49/x
  3. Step 3: Cross multiply
    83,310.86x = 114,972.04 × 47,500.49
  4. Step 4: Simplify right side
    83,310.86x = 5,461,228,583.11
  5. Step 5: Solve for x
    x = 5,461,228,583.11/83,310.86
  6. Step 6: Final answer
    x = 65,552.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.