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Finding the Fourth Proportional to 105,049.80, 157,584.42 and 41,854.68

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Solution

The fourth proportional to 105,049.80, 157,584.42 and 41,854.68 is: 62,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,049.80 : 157,584.42 = 41,854.68 : x
  2. Step 2: Convert to fraction form
    105,049.80/157,584.42 = 41,854.68/x
  3. Step 3: Cross multiply
    105,049.80x = 157,584.42 × 41,854.68
  4. Step 4: Simplify right side
    105,049.80x = 6,595,645,472.09
  5. Step 5: Solve for x
    x = 6,595,645,472.09/105,049.80
  6. Step 6: Final answer
    x = 62,785.89

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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.