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Finding the Fourth Proportional to 48,706.20, 73,088.10 and 32,114.20

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Solution

The fourth proportional to 48,706.20, 73,088.10 and 32,114.20 is: 48,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706.20 : 73,088.10 = 32,114.20 : x
  2. Step 2: Convert to fraction form
    48,706.20/73,088.10 = 32,114.20/x
  3. Step 3: Cross multiply
    48,706.20x = 73,088.10 × 32,114.20
  4. Step 4: Simplify right side
    48,706.20x = 2,347,165,861.02
  5. Step 5: Solve for x
    x = 2,347,165,861.02/48,706.20
  6. Step 6: Final answer
    x = 48,190.29

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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.