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Finding the Fourth Proportional to 47,833.39, 71,724.03 and 30,964.13

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Solution

The fourth proportional to 47,833.39, 71,724.03 and 30,964.13 is: 46,429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,833.39 : 71,724.03 = 30,964.13 : x
  2. Step 2: Convert to fraction form
    47,833.39/71,724.03 = 30,964.13/x
  3. Step 3: Cross multiply
    47,833.39x = 71,724.03 × 30,964.13
  4. Step 4: Simplify right side
    47,833.39x = 2,220,872,189.04
  5. Step 5: Solve for x
    x = 2,220,872,189.04/47,833.39
  6. Step 6: Final answer
    x = 46,429.33

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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.