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Finding the Fourth Proportional to 83,149.67, 114,746.52 and 44,909.22

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Solution

The fourth proportional to 83,149.67, 114,746.52 and 44,909.22 is: 61,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.67 : 114,746.52 = 44,909.22 : x
  2. Step 2: Convert to fraction form
    83,149.67/114,746.52 = 44,909.22/x
  3. Step 3: Cross multiply
    83,149.67x = 114,746.52 × 44,909.22
  4. Step 4: Simplify right side
    83,149.67x = 5,153,176,664.17
  5. Step 5: Solve for x
    x = 5,153,176,664.17/83,149.67
  6. Step 6: Final answer
    x = 61,974.71

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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.