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Finding the Fourth Proportional to 83,177.63, 124,802.19 and 27,034.95

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Solution

The fourth proportional to 83,177.63, 124,802.19 and 27,034.95 is: 40,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,177.63 : 124,802.19 = 27,034.95 : x
  2. Step 2: Convert to fraction form
    83,177.63/124,802.19 = 27,034.95/x
  3. Step 3: Cross multiply
    83,177.63x = 124,802.19 × 27,034.95
  4. Step 4: Simplify right side
    83,177.63x = 3,374,020,966.54
  5. Step 5: Solve for x
    x = 3,374,020,966.54/83,177.63
  6. Step 6: Final answer
    x = 40,564.04

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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.