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Finding the Fourth Proportional to 77,189.50, 115,792.76 and 24,586.88

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Solution

The fourth proportional to 77,189.50, 115,792.76 and 24,586.88 is: 36,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,189.50 : 115,792.76 = 24,586.88 : x
  2. Step 2: Convert to fraction form
    77,189.50/115,792.76 = 24,586.88/x
  3. Step 3: Cross multiply
    77,189.50x = 115,792.76 × 24,586.88
  4. Step 4: Simplify right side
    77,189.50x = 2,846,982,572.05
  5. Step 5: Solve for x
    x = 2,846,982,572.05/77,189.50
  6. Step 6: Final answer
    x = 36,883.03

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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.