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Finding the Fourth Proportional to 67,234.76, 100,886.16 and 27,820.16

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Solution

The fourth proportional to 67,234.76, 100,886.16 and 27,820.16 is: 41,744.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,234.76 : 100,886.16 = 27,820.16 : x
  2. Step 2: Convert to fraction form
    67,234.76/100,886.16 = 27,820.16/x
  3. Step 3: Cross multiply
    67,234.76x = 100,886.16 × 27,820.16
  4. Step 4: Simplify right side
    67,234.76x = 2,806,669,112.99
  5. Step 5: Solve for x
    x = 2,806,669,112.99/67,234.76
  6. Step 6: Final answer
    x = 41,744.32

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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.