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Finding the Fourth Proportional to 27,763.80, 38,318.84 and 26,841.12

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Solution

The fourth proportional to 27,763.80, 38,318.84 and 26,841.12 is: 37,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,763.80 : 38,318.84 = 26,841.12 : x
  2. Step 2: Convert to fraction form
    27,763.80/38,318.84 = 26,841.12/x
  3. Step 3: Cross multiply
    27,763.80x = 38,318.84 × 26,841.12
  4. Step 4: Simplify right side
    27,763.80x = 1,028,520,582.70
  5. Step 5: Solve for x
    x = 1,028,520,582.70/27,763.80
  6. Step 6: Final answer
    x = 37,045.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.