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Finding the Fourth Proportional to 52,148.65, 71,938.64 and 32,996.15

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Solution

The fourth proportional to 52,148.65, 71,938.64 and 32,996.15 is: 45,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,148.65 : 71,938.64 = 32,996.15 : x
  2. Step 2: Convert to fraction form
    52,148.65/71,938.64 = 32,996.15/x
  3. Step 3: Cross multiply
    52,148.65x = 71,938.64 × 32,996.15
  4. Step 4: Simplify right side
    52,148.65x = 2,373,698,156.24
  5. Step 5: Solve for x
    x = 2,373,698,156.24/52,148.65
  6. Step 6: Final answer
    x = 45,517.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.