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Finding the Fourth Proportional to 52,027.89, 71,798.20 and 28,154.53

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Solution

The fourth proportional to 52,027.89, 71,798.20 and 28,154.53 is: 38,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,027.89 : 71,798.20 = 28,154.53 : x
  2. Step 2: Convert to fraction form
    52,027.89/71,798.20 = 28,154.53/x
  3. Step 3: Cross multiply
    52,027.89x = 71,798.20 × 28,154.53
  4. Step 4: Simplify right side
    52,027.89x = 2,021,444,575.85
  5. Step 5: Solve for x
    x = 2,021,444,575.85/52,027.89
  6. Step 6: Final answer
    x = 38,853.10

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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.