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Finding the Fourth Proportional to 172,690.13, 259,049.77 and 48,031.13

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Solution

The fourth proportional to 172,690.13, 259,049.77 and 48,031.13 is: 72,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,690.13 : 259,049.77 = 48,031.13 : x
  2. Step 2: Convert to fraction form
    172,690.13/259,049.77 = 48,031.13/x
  3. Step 3: Cross multiply
    172,690.13x = 259,049.77 × 48,031.13
  4. Step 4: Simplify right side
    172,690.13x = 12,442,453,179.34
  5. Step 5: Solve for x
    x = 12,442,453,179.34/172,690.13
  6. Step 6: Final answer
    x = 72,050.75

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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.