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Finding the Fourth Proportional to 71,833.76, 107,750.84 and 71,729.96

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Solution

The fourth proportional to 71,833.76, 107,750.84 and 71,729.96 is: 107,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,833.76 : 107,750.84 = 71,729.96 : x
  2. Step 2: Convert to fraction form
    71,833.76/107,750.84 = 71,729.96/x
  3. Step 3: Cross multiply
    71,833.76x = 107,750.84 × 71,729.96
  4. Step 4: Simplify right side
    71,833.76x = 7,728,963,443.17
  5. Step 5: Solve for x
    x = 7,728,963,443.17/71,833.76
  6. Step 6: Final answer
    x = 107,595.14

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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.