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Finding the Fourth Proportional to 52,002.56, 78,011.94 and 16,934.06

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Solution

The fourth proportional to 52,002.56, 78,011.94 and 16,934.06 is: 25,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,002.56 : 78,011.94 = 16,934.06 : x
  2. Step 2: Convert to fraction form
    52,002.56/78,011.94 = 16,934.06/x
  3. Step 3: Cross multiply
    52,002.56x = 78,011.94 × 16,934.06
  4. Step 4: Simplify right side
    52,002.56x = 1,321,058,872.68
  5. Step 5: Solve for x
    x = 1,321,058,872.68/52,002.56
  6. Step 6: Final answer
    x = 25,403.73

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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.