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Finding the Fourth Proportional to 76,675.50, 115,031.52 and 24,084.96

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Solution

The fourth proportional to 76,675.50, 115,031.52 and 24,084.96 is: 36,133.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.50 : 115,031.52 = 24,084.96 : x
  2. Step 2: Convert to fraction form
    76,675.50/115,031.52 = 24,084.96/x
  3. Step 3: Cross multiply
    76,675.50x = 115,031.52 × 24,084.96
  4. Step 4: Simplify right side
    76,675.50x = 2,770,529,557.94
  5. Step 5: Solve for x
    x = 2,770,529,557.94/76,675.50
  6. Step 6: Final answer
    x = 36,133.18

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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.