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Finding the Fourth Proportional to 130,757.44, 196,116.72 and 47,632

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Solution

The fourth proportional to 130,757.44, 196,116.72 and 47,632 is: 71,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,757.44 : 196,116.72 = 47,632 : x
  2. Step 2: Convert to fraction form
    130,757.44/196,116.72 = 47,632/x
  3. Step 3: Cross multiply
    130,757.44x = 196,116.72 × 47,632
  4. Step 4: Simplify right side
    130,757.44x = 9,341,431,607.04
  5. Step 5: Solve for x
    x = 9,341,431,607.04/130,757.44
  6. Step 6: Final answer
    x = 71,440.92

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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.