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Finding the Fourth Proportional to 172,031.80, 258,047.72 and 53,713.27

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Solution

The fourth proportional to 172,031.80, 258,047.72 and 53,713.27 is: 80,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,031.80 : 258,047.72 = 53,713.27 : x
  2. Step 2: Convert to fraction form
    172,031.80/258,047.72 = 53,713.27/x
  3. Step 3: Cross multiply
    172,031.80x = 258,047.72 × 53,713.27
  4. Step 4: Simplify right side
    172,031.80x = 13,860,586,588.68
  5. Step 5: Solve for x
    x = 13,860,586,588.68/172,031.80
  6. Step 6: Final answer
    x = 80,569.91

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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.