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Finding the Fourth Proportional to 114,879.72, 172,346.16 and 38,974.19

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Solution

The fourth proportional to 114,879.72, 172,346.16 and 38,974.19 is: 58,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,879.72 : 172,346.16 = 38,974.19 : x
  2. Step 2: Convert to fraction form
    114,879.72/172,346.16 = 38,974.19/x
  3. Step 3: Cross multiply
    114,879.72x = 172,346.16 × 38,974.19
  4. Step 4: Simplify right side
    114,879.72x = 6,717,051,425.91
  5. Step 5: Solve for x
    x = 6,717,051,425.91/114,879.72
  6. Step 6: Final answer
    x = 58,470.30

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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.