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Finding the Fourth Proportional to 83,149.40, 114,746.15 and 44,908.97

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Solution

The fourth proportional to 83,149.40, 114,746.15 and 44,908.97 is: 61,974.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.40 : 114,746.15 = 44,908.97 : x
  2. Step 2: Convert to fraction form
    83,149.40/114,746.15 = 44,908.97/x
  3. Step 3: Cross multiply
    83,149.40x = 114,746.15 × 44,908.97
  4. Step 4: Simplify right side
    83,149.40x = 5,153,130,609.69
  5. Step 5: Solve for x
    x = 5,153,130,609.69/83,149.40
  6. Step 6: Final answer
    x = 61,974.36

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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.