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Finding the Fourth Proportional to 83,116.14, 114,686.88 and 47,306.76

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Solution

The fourth proportional to 83,116.14, 114,686.88 and 47,306.76 is: 65,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.14 : 114,686.88 = 47,306.76 : x
  2. Step 2: Convert to fraction form
    83,116.14/114,686.88 = 47,306.76/x
  3. Step 3: Cross multiply
    83,116.14x = 114,686.88 × 47,306.76
  4. Step 4: Simplify right side
    83,116.14x = 5,425,464,707.31
  5. Step 5: Solve for x
    x = 5,425,464,707.31/83,116.14
  6. Step 6: Final answer
    x = 65,275.71

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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.