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Finding the Fourth Proportional to 52,673.20, 78,817.80 and 38,849.20

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Solution

The fourth proportional to 52,673.20, 78,817.80 and 38,849.20 is: 58,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,673.20 : 78,817.80 = 38,849.20 : x
  2. Step 2: Convert to fraction form
    52,673.20/78,817.80 = 38,849.20/x
  3. Step 3: Cross multiply
    52,673.20x = 78,817.80 × 38,849.20
  4. Step 4: Simplify right side
    52,673.20x = 3,062,008,475.76
  5. Step 5: Solve for x
    x = 3,062,008,475.76/52,673.20
  6. Step 6: Final answer
    x = 58,132.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.