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Finding the Fourth Proportional to 83,802.68, 125,700.96 and 27,641.22

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Solution

The fourth proportional to 83,802.68, 125,700.96 and 27,641.22 is: 41,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,802.68 : 125,700.96 = 27,641.22 : x
  2. Step 2: Convert to fraction form
    83,802.68/125,700.96 = 27,641.22/x
  3. Step 3: Cross multiply
    83,802.68x = 125,700.96 × 27,641.22
  4. Step 4: Simplify right side
    83,802.68x = 3,474,527,889.57
  5. Step 5: Solve for x
    x = 3,474,527,889.57/83,802.68
  6. Step 6: Final answer
    x = 41,460.82

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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.