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Finding the Fourth Proportional to 83,213.52, 114,830.60 and 45,487.76

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Solution

The fourth proportional to 83,213.52, 114,830.60 and 45,487.76 is: 62,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,213.52 : 114,830.60 = 45,487.76 : x
  2. Step 2: Convert to fraction form
    83,213.52/114,830.60 = 45,487.76/x
  3. Step 3: Cross multiply
    83,213.52x = 114,830.60 × 45,487.76
  4. Step 4: Simplify right side
    83,213.52x = 5,223,386,773.46
  5. Step 5: Solve for x
    x = 5,223,386,773.46/83,213.52
  6. Step 6: Final answer
    x = 62,770.89

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1.5x scale

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.