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Finding the Fourth Proportional to 27,029.20, 40,543.80 and 13,882.90

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Solution

The fourth proportional to 27,029.20, 40,543.80 and 13,882.90 is: 20,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.20 : 40,543.80 = 13,882.90 : x
  2. Step 2: Convert to fraction form
    27,029.20/40,543.80 = 13,882.90/x
  3. Step 3: Cross multiply
    27,029.20x = 40,543.80 × 13,882.90
  4. Step 4: Simplify right side
    27,029.20x = 562,865,521.02
  5. Step 5: Solve for x
    x = 562,865,521.02/27,029.20
  6. Step 6: Final answer
    x = 20,824.35

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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.