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Finding the Fourth Proportional to 76,994.52, 115,501.50 and 24,385.20

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Solution

The fourth proportional to 76,994.52, 115,501.50 and 24,385.20 is: 36,580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,994.52 : 115,501.50 = 24,385.20 : x
  2. Step 2: Convert to fraction form
    76,994.52/115,501.50 = 24,385.20/x
  3. Step 3: Cross multiply
    76,994.52x = 115,501.50 × 24,385.20
  4. Step 4: Simplify right side
    76,994.52x = 2,816,527,177.80
  5. Step 5: Solve for x
    x = 2,816,527,177.80/76,994.52
  6. Step 6: Final answer
    x = 36,580.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.