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Finding the Fourth Proportional to 38,758.38, 53,496.78 and 22,853.42

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Solution

The fourth proportional to 38,758.38, 53,496.78 and 22,853.42 is: 31,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,758.38 : 53,496.78 = 22,853.42 : x
  2. Step 2: Convert to fraction form
    38,758.38/53,496.78 = 22,853.42/x
  3. Step 3: Cross multiply
    38,758.38x = 53,496.78 × 22,853.42
  4. Step 4: Simplify right side
    38,758.38x = 1,222,584,381.99
  5. Step 5: Solve for x
    x = 1,222,584,381.99/38,758.38
  6. Step 6: Final answer
    x = 31,543.74

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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.