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Finding the Fourth Proportional to 32,082.78, 48,084.08 and 15,438.35

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Solution

The fourth proportional to 32,082.78, 48,084.08 and 15,438.35 is: 23,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,082.78 : 48,084.08 = 15,438.35 : x
  2. Step 2: Convert to fraction form
    32,082.78/48,084.08 = 15,438.35/x
  3. Step 3: Cross multiply
    32,082.78x = 48,084.08 × 15,438.35
  4. Step 4: Simplify right side
    32,082.78x = 742,338,715.85
  5. Step 5: Solve for x
    x = 742,338,715.85/32,082.78
  6. Step 6: Final answer
    x = 23,138.23

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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.