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Finding the Fourth Proportional to 70,820.64, 106,233.12 and 20,900.16

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Solution

The fourth proportional to 70,820.64, 106,233.12 and 20,900.16 is: 31,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,820.64 : 106,233.12 = 20,900.16 : x
  2. Step 2: Convert to fraction form
    70,820.64/106,233.12 = 20,900.16/x
  3. Step 3: Cross multiply
    70,820.64x = 106,233.12 × 20,900.16
  4. Step 4: Simplify right side
    70,820.64x = 2,220,289,205.30
  5. Step 5: Solve for x
    x = 2,220,289,205.30/70,820.64
  6. Step 6: Final answer
    x = 31,350.88

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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.