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Finding the Fourth Proportional to 47,165.92, 70,724.53 and 13,881.66

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Solution

The fourth proportional to 47,165.92, 70,724.53 and 13,881.66 is: 20,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,165.92 : 70,724.53 = 13,881.66 : x
  2. Step 2: Convert to fraction form
    47,165.92/70,724.53 = 13,881.66/x
  3. Step 3: Cross multiply
    47,165.92x = 70,724.53 × 13,881.66
  4. Step 4: Simplify right side
    47,165.92x = 981,773,879.12
  5. Step 5: Solve for x
    x = 981,773,879.12/47,165.92
  6. Step 6: Final answer
    x = 20,815.32

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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.