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Finding the Fourth Proportional to 76,677.60, 115,008.30 and 24,084.30

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Solution

The fourth proportional to 76,677.60, 115,008.30 and 24,084.30 is: 36,123.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.60 : 115,008.30 = 24,084.30 : x
  2. Step 2: Convert to fraction form
    76,677.60/115,008.30 = 24,084.30/x
  3. Step 3: Cross multiply
    76,677.60x = 115,008.30 × 24,084.30
  4. Step 4: Simplify right side
    76,677.60x = 2,769,894,399.69
  5. Step 5: Solve for x
    x = 2,769,894,399.69/76,677.60
  6. Step 6: Final answer
    x = 36,123.91

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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.