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Finding the Fourth Proportional to 76,579.29, 114,853.79 and 72,781.76

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Solution

The fourth proportional to 76,579.29, 114,853.79 and 72,781.76 is: 109,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,579.29 : 114,853.79 = 72,781.76 : x
  2. Step 2: Convert to fraction form
    76,579.29/114,853.79 = 72,781.76/x
  3. Step 3: Cross multiply
    76,579.29x = 114,853.79 × 72,781.76
  4. Step 4: Simplify right side
    76,579.29x = 8,359,260,978.87
  5. Step 5: Solve for x
    x = 8,359,260,978.87/76,579.29
  6. Step 6: Final answer
    x = 109,158.25

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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.