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Finding the Fourth Proportional to 38,868.86, 53,638.68 and 22,101.86

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Solution

The fourth proportional to 38,868.86, 53,638.68 and 22,101.86 is: 30,500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,868.86 : 53,638.68 = 22,101.86 : x
  2. Step 2: Convert to fraction form
    38,868.86/53,638.68 = 22,101.86/x
  3. Step 3: Cross multiply
    38,868.86x = 53,638.68 × 22,101.86
  4. Step 4: Simplify right side
    38,868.86x = 1,185,514,595.94
  5. Step 5: Solve for x
    x = 1,185,514,595.94/38,868.86
  6. Step 6: Final answer
    x = 30,500.37

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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.