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Finding the Fourth Proportional to 70,617.12, 105,922.44 and 20,695.20

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Solution

The fourth proportional to 70,617.12, 105,922.44 and 20,695.20 is: 31,041.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,617.12 : 105,922.44 = 20,695.20 : x
  2. Step 2: Convert to fraction form
    70,617.12/105,922.44 = 20,695.20/x
  3. Step 3: Cross multiply
    70,617.12x = 105,922.44 × 20,695.20
  4. Step 4: Simplify right side
    70,617.12x = 2,192,086,080.29
  5. Step 5: Solve for x
    x = 2,192,086,080.29/70,617.12
  6. Step 6: Final answer
    x = 31,041.85

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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.