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Finding the Fourth Proportional to 52,233.62, 78,321 and 16,686.59

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Solution

The fourth proportional to 52,233.62, 78,321 and 16,686.59 is: 25,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,233.62 : 78,321 = 16,686.59 : x
  2. Step 2: Convert to fraction form
    52,233.62/78,321 = 16,686.59/x
  3. Step 3: Cross multiply
    52,233.62x = 78,321 × 16,686.59
  4. Step 4: Simplify right side
    52,233.62x = 1,306,910,415.39
  5. Step 5: Solve for x
    x = 1,306,910,415.39/52,233.62
  6. Step 6: Final answer
    x = 25,020.48

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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.