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Finding the Fourth Proportional to 52,165.75, 78,263.75 and 15,229.75

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Solution

The fourth proportional to 52,165.75, 78,263.75 and 15,229.75 is: 22,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165.75 : 78,263.75 = 15,229.75 : x
  2. Step 2: Convert to fraction form
    52,165.75/78,263.75 = 15,229.75/x
  3. Step 3: Cross multiply
    52,165.75x = 78,263.75 × 15,229.75
  4. Step 4: Simplify right side
    52,165.75x = 1,191,937,346.56
  5. Step 5: Solve for x
    x = 1,191,937,346.56/52,165.75
  6. Step 6: Final answer
    x = 22,849.04

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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.