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Finding the Fourth Proportional to 83,308.51, 124,949.92 and 27,148.47

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Solution

The fourth proportional to 83,308.51, 124,949.92 and 27,148.47 is: 40,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,308.51 : 124,949.92 = 27,148.47 : x
  2. Step 2: Convert to fraction form
    83,308.51/124,949.92 = 27,148.47/x
  3. Step 3: Cross multiply
    83,308.51x = 124,949.92 × 27,148.47
  4. Step 4: Simplify right side
    83,308.51x = 3,392,199,154.62
  5. Step 5: Solve for x
    x = 3,392,199,154.62/83,308.51
  6. Step 6: Final answer
    x = 40,718.52

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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.