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Finding the Fourth Proportional to 38,081.98, 52,536.59 and 22,966.24

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Solution

The fourth proportional to 38,081.98, 52,536.59 and 22,966.24 is: 31,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,081.98 : 52,536.59 = 22,966.24 : x
  2. Step 2: Convert to fraction form
    38,081.98/52,536.59 = 22,966.24/x
  3. Step 3: Cross multiply
    38,081.98x = 52,536.59 × 22,966.24
  4. Step 4: Simplify right side
    38,081.98x = 1,206,567,934.72
  5. Step 5: Solve for x
    x = 1,206,567,934.72/38,081.98
  6. Step 6: Final answer
    x = 31,683.43

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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.