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Finding the Fourth Proportional to 83,674, 115,470.24 and 45,950.80

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Solution

The fourth proportional to 83,674, 115,470.24 and 45,950.80 is: 63,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,674 : 115,470.24 = 45,950.80 : x
  2. Step 2: Convert to fraction form
    83,674/115,470.24 = 45,950.80/x
  3. Step 3: Cross multiply
    83,674x = 115,470.24 × 45,950.80
  4. Step 4: Simplify right side
    83,674x = 5,305,949,904.19
  5. Step 5: Solve for x
    x = 5,305,949,904.19/83,674
  6. Step 6: Final answer
    x = 63,412.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.