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Finding the Fourth Proportional to 38,744.91, 58,127.12 and 11,042.91

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Solution

The fourth proportional to 38,744.91, 58,127.12 and 11,042.91 is: 16,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,744.91 : 58,127.12 = 11,042.91 : x
  2. Step 2: Convert to fraction form
    38,744.91/58,127.12 = 11,042.91/x
  3. Step 3: Cross multiply
    38,744.91x = 58,127.12 × 11,042.91
  4. Step 4: Simplify right side
    38,744.91x = 641,892,499.50
  5. Step 5: Solve for x
    x = 641,892,499.50/38,744.91
  6. Step 6: Final answer
    x = 16,567.14

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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.