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Finding the Fourth Proportional to 47,923.92, 71,879.28 and 12,864

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Solution

The fourth proportional to 47,923.92, 71,879.28 and 12,864 is: 19,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,923.92 : 71,879.28 = 12,864 : x
  2. Step 2: Convert to fraction form
    47,923.92/71,879.28 = 12,864/x
  3. Step 3: Cross multiply
    47,923.92x = 71,879.28 × 12,864
  4. Step 4: Simplify right side
    47,923.92x = 924,655,057.92
  5. Step 5: Solve for x
    x = 924,655,057.92/47,923.92
  6. Step 6: Final answer
    x = 19,294.23

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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.