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Finding the Fourth Proportional to 77,287.89, 115,957.08 and 32,952.27

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Solution

The fourth proportional to 77,287.89, 115,957.08 and 32,952.27 is: 49,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,287.89 : 115,957.08 = 32,952.27 : x
  2. Step 2: Convert to fraction form
    77,287.89/115,957.08 = 32,952.27/x
  3. Step 3: Cross multiply
    77,287.89x = 115,957.08 × 32,952.27
  4. Step 4: Simplify right side
    77,287.89x = 3,821,049,008.57
  5. Step 5: Solve for x
    x = 3,821,049,008.57/77,287.89
  6. Step 6: Final answer
    x = 49,439.17

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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.