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Finding the Fourth Proportional to 51,948.96, 71,684.28 and 30,724.08

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Solution

The fourth proportional to 51,948.96, 71,684.28 and 30,724.08 is: 42,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,948.96 : 71,684.28 = 30,724.08 : x
  2. Step 2: Convert to fraction form
    51,948.96/71,684.28 = 30,724.08/x
  3. Step 3: Cross multiply
    51,948.96x = 71,684.28 × 30,724.08
  4. Step 4: Simplify right side
    51,948.96x = 2,202,433,553.46
  5. Step 5: Solve for x
    x = 2,202,433,553.46/51,948.96
  6. Step 6: Final answer
    x = 42,396.10

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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.