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Finding the Fourth Proportional to 120,586.10, 180,905.06 and 40,632

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Solution

The fourth proportional to 120,586.10, 180,905.06 and 40,632 is: 60,956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,586.10 : 180,905.06 = 40,632 : x
  2. Step 2: Convert to fraction form
    120,586.10/180,905.06 = 40,632/x
  3. Step 3: Cross multiply
    120,586.10x = 180,905.06 × 40,632
  4. Step 4: Simplify right side
    120,586.10x = 7,350,534,397.92
  5. Step 5: Solve for x
    x = 7,350,534,397.92/120,586.10
  6. Step 6: Final answer
    x = 60,956.73

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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.