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Finding the Fourth Proportional to 52,722.54, 72,758.28 and 28,849.20

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Solution

The fourth proportional to 52,722.54, 72,758.28 and 28,849.20 is: 39,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,722.54 : 72,758.28 = 28,849.20 : x
  2. Step 2: Convert to fraction form
    52,722.54/72,758.28 = 28,849.20/x
  3. Step 3: Cross multiply
    52,722.54x = 72,758.28 × 28,849.20
  4. Step 4: Simplify right side
    52,722.54x = 2,099,018,171.38
  5. Step 5: Solve for x
    x = 2,099,018,171.38/52,722.54
  6. Step 6: Final answer
    x = 39,812.54

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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.