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Finding the Fourth Proportional to 70,276.68, 105,449.66 and 32,839.34

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Solution

The fourth proportional to 70,276.68, 105,449.66 and 32,839.34 is: 49,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,276.68 : 105,449.66 = 32,839.34 : x
  2. Step 2: Convert to fraction form
    70,276.68/105,449.66 = 32,839.34/x
  3. Step 3: Cross multiply
    70,276.68x = 105,449.66 × 32,839.34
  4. Step 4: Simplify right side
    70,276.68x = 3,462,896,546.18
  5. Step 5: Solve for x
    x = 3,462,896,546.18/70,276.68
  6. Step 6: Final answer
    x = 49,275.19

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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.