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Finding the Fourth Proportional to 83,911.80, 125,867.76 and 57,536.56

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Solution

The fourth proportional to 83,911.80, 125,867.76 and 57,536.56 is: 86,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,911.80 : 125,867.76 = 57,536.56 : x
  2. Step 2: Convert to fraction form
    83,911.80/125,867.76 = 57,536.56/x
  3. Step 3: Cross multiply
    83,911.80x = 125,867.76 × 57,536.56
  4. Step 4: Simplify right side
    83,911.80x = 7,241,997,925.31
  5. Step 5: Solve for x
    x = 7,241,997,925.31/83,911.80
  6. Step 6: Final answer
    x = 86,304.88

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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.