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Finding the Fourth Proportional to 83,964.87, 115,871.31 and 46,239.12

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Solution

The fourth proportional to 83,964.87, 115,871.31 and 46,239.12 is: 63,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,964.87 : 115,871.31 = 46,239.12 : x
  2. Step 2: Convert to fraction form
    83,964.87/115,871.31 = 46,239.12/x
  3. Step 3: Cross multiply
    83,964.87x = 115,871.31 × 46,239.12
  4. Step 4: Simplify right side
    83,964.87x = 5,357,787,407.65
  5. Step 5: Solve for x
    x = 5,357,787,407.65/83,964.87
  6. Step 6: Final answer
    x = 63,809.87

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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.