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Finding the Fourth Proportional to 38,540.81, 53,186.60 and 21,545.74

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Solution

The fourth proportional to 38,540.81, 53,186.60 and 21,545.74 is: 29,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.81 : 53,186.60 = 21,545.74 : x
  2. Step 2: Convert to fraction form
    38,540.81/53,186.60 = 21,545.74/x
  3. Step 3: Cross multiply
    38,540.81x = 53,186.60 × 21,545.74
  4. Step 4: Simplify right side
    38,540.81x = 1,145,944,575.98
  5. Step 5: Solve for x
    x = 1,145,944,575.98/38,540.81
  6. Step 6: Final answer
    x = 29,733.28

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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.