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Finding the Fourth Proportional to 34,177.52, 51,284.52 and 13,401.20

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Solution

The fourth proportional to 34,177.52, 51,284.52 and 13,401.20 is: 20,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,177.52 : 51,284.52 = 13,401.20 : x
  2. Step 2: Convert to fraction form
    34,177.52/51,284.52 = 13,401.20/x
  3. Step 3: Cross multiply
    34,177.52x = 51,284.52 × 13,401.20
  4. Step 4: Simplify right side
    34,177.52x = 687,274,109.42
  5. Step 5: Solve for x
    x = 687,274,109.42/34,177.52
  6. Step 6: Final answer
    x = 20,108.95

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1.5x scale

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.