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Finding the Fourth Proportional to 172,533, 258,799.50 and 47,874

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Solution

The fourth proportional to 172,533, 258,799.50 and 47,874 is: 71,811

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,533 : 258,799.50 = 47,874 : x
  2. Step 2: Convert to fraction form
    172,533/258,799.50 = 47,874/x
  3. Step 3: Cross multiply
    172,533x = 258,799.50 × 47,874
  4. Step 4: Simplify right side
    172,533x = 12,389,767,263
  5. Step 5: Solve for x
    x = 12,389,767,263/172,533
  6. Step 6: Final answer
    x = 71,811

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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.