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Finding the Fourth Proportional to 49,123.40, 73,648.65 and 15,824.30

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Solution

The fourth proportional to 49,123.40, 73,648.65 and 15,824.30 is: 23,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,123.40 : 73,648.65 = 15,824.30 : x
  2. Step 2: Convert to fraction form
    49,123.40/73,648.65 = 15,824.30/x
  3. Step 3: Cross multiply
    49,123.40x = 73,648.65 × 15,824.30
  4. Step 4: Simplify right side
    49,123.40x = 1,165,438,332.20
  5. Step 5: Solve for x
    x = 1,165,438,332.20/49,123.40
  6. Step 6: Final answer
    x = 23,724.71

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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.