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Finding the Fourth Proportional to 83,086.11, 114,654.84 and 47,272.77

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Solution

The fourth proportional to 83,086.11, 114,654.84 and 47,272.77 is: 65,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,086.11 : 114,654.84 = 47,272.77 : x
  2. Step 2: Convert to fraction form
    83,086.11/114,654.84 = 47,272.77/x
  3. Step 3: Cross multiply
    83,086.11x = 114,654.84 × 47,272.77
  4. Step 4: Simplify right side
    83,086.11x = 5,420,051,880.71
  5. Step 5: Solve for x
    x = 5,420,051,880.71/83,086.11
  6. Step 6: Final answer
    x = 65,234.15

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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.