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Finding the Fourth Proportional to 52,449.52, 78,684 and 22,861.84

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Solution

The fourth proportional to 52,449.52, 78,684 and 22,861.84 is: 34,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,449.52 : 78,684 = 22,861.84 : x
  2. Step 2: Convert to fraction form
    52,449.52/78,684 = 22,861.84/x
  3. Step 3: Cross multiply
    52,449.52x = 78,684 × 22,861.84
  4. Step 4: Simplify right side
    52,449.52x = 1,798,861,018.56
  5. Step 5: Solve for x
    x = 1,798,861,018.56/52,449.52
  6. Step 6: Final answer
    x = 34,297.00

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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.