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Finding the Fourth Proportional to 83,151.89, 114,747.05 and 47,347.01

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Solution

The fourth proportional to 83,151.89, 114,747.05 and 47,347.01 is: 65,337.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,151.89 : 114,747.05 = 47,347.01 : x
  2. Step 2: Convert to fraction form
    83,151.89/114,747.05 = 47,347.01/x
  3. Step 3: Cross multiply
    83,151.89x = 114,747.05 × 47,347.01
  4. Step 4: Simplify right side
    83,151.89x = 5,432,929,487.09
  5. Step 5: Solve for x
    x = 5,432,929,487.09/83,151.89
  6. Step 6: Final answer
    x = 65,337.41

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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.