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Finding the Fourth Proportional to 83,149.35, 124,646.26 and 30,544.71

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Solution

The fourth proportional to 83,149.35, 124,646.26 and 30,544.71 is: 45,788.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.35 : 124,646.26 = 30,544.71 : x
  2. Step 2: Convert to fraction form
    83,149.35/124,646.26 = 30,544.71/x
  3. Step 3: Cross multiply
    83,149.35x = 124,646.26 × 30,544.71
  4. Step 4: Simplify right side
    83,149.35x = 3,807,283,088.33
  5. Step 5: Solve for x
    x = 3,807,283,088.33/83,149.35
  6. Step 6: Final answer
    x = 45,788.49

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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.