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Finding the Fourth Proportional to 83,134.91, 114,726.27 and 47,324.88

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Solution

The fourth proportional to 83,134.91, 114,726.27 and 47,324.88 is: 65,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134.91 : 114,726.27 = 47,324.88 : x
  2. Step 2: Convert to fraction form
    83,134.91/114,726.27 = 47,324.88/x
  3. Step 3: Cross multiply
    83,134.91x = 114,726.27 × 47,324.88
  4. Step 4: Simplify right side
    83,134.91x = 5,429,407,460.73
  5. Step 5: Solve for x
    x = 5,429,407,460.73/83,134.91
  6. Step 6: Final answer
    x = 65,308.40

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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.