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Finding the Fourth Proportional to 83,042.76, 124,559.02 and 26,881.64

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Solution

The fourth proportional to 83,042.76, 124,559.02 and 26,881.64 is: 40,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,042.76 : 124,559.02 = 26,881.64 : x
  2. Step 2: Convert to fraction form
    83,042.76/124,559.02 = 26,881.64/x
  3. Step 3: Cross multiply
    83,042.76x = 124,559.02 × 26,881.64
  4. Step 4: Simplify right side
    83,042.76x = 3,348,350,734.39
  5. Step 5: Solve for x
    x = 3,348,350,734.39/83,042.76
  6. Step 6: Final answer
    x = 40,320.80

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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.