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Finding the Fourth Proportional to 39,388.50, 59,082.75 and 10,204.50

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Solution

The fourth proportional to 39,388.50, 59,082.75 and 10,204.50 is: 15,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,388.50 : 59,082.75 = 10,204.50 : x
  2. Step 2: Convert to fraction form
    39,388.50/59,082.75 = 10,204.50/x
  3. Step 3: Cross multiply
    39,388.50x = 59,082.75 × 10,204.50
  4. Step 4: Simplify right side
    39,388.50x = 602,909,922.38
  5. Step 5: Solve for x
    x = 602,909,922.38/39,388.50
  6. Step 6: Final answer
    x = 15,306.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.