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Finding the Fourth Proportional to 83,282.48, 114,901.64 and 47,446.97

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Solution

The fourth proportional to 83,282.48, 114,901.64 and 47,446.97 is: 65,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,282.48 : 114,901.64 = 47,446.97 : x
  2. Step 2: Convert to fraction form
    83,282.48/114,901.64 = 47,446.97/x
  3. Step 3: Cross multiply
    83,282.48x = 114,901.64 × 47,446.97
  4. Step 4: Simplify right side
    83,282.48x = 5,451,734,032.21
  5. Step 5: Solve for x
    x = 5,451,734,032.21/83,282.48
  6. Step 6: Final answer
    x = 65,460.76

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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.