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Finding the Fourth Proportional to 28,147.86, 38,849.40 and 20,103.30

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Solution

The fourth proportional to 28,147.86, 38,849.40 and 20,103.30 is: 27,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,147.86 : 38,849.40 = 20,103.30 : x
  2. Step 2: Convert to fraction form
    28,147.86/38,849.40 = 20,103.30/x
  3. Step 3: Cross multiply
    28,147.86x = 38,849.40 × 20,103.30
  4. Step 4: Simplify right side
    28,147.86x = 781,001,143.02
  5. Step 5: Solve for x
    x = 781,001,143.02/28,147.86
  6. Step 6: Final answer
    x = 27,746.38

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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.