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Finding the Fourth Proportional to 83,042.91, 124,584.12 and 26,883

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Solution

The fourth proportional to 83,042.91, 124,584.12 and 26,883 is: 40,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,042.91 : 124,584.12 = 26,883 : x
  2. Step 2: Convert to fraction form
    83,042.91/124,584.12 = 26,883/x
  3. Step 3: Cross multiply
    83,042.91x = 124,584.12 × 26,883
  4. Step 4: Simplify right side
    83,042.91x = 3,349,194,897.96
  5. Step 5: Solve for x
    x = 3,349,194,897.96/83,042.91
  6. Step 6: Final answer
    x = 40,330.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.