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Finding the Fourth Proportional to 83,964.68, 115,866.42 and 50,424.20

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Solution

The fourth proportional to 83,964.68, 115,866.42 and 50,424.20 is: 69,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,964.68 : 115,866.42 = 50,424.20 : x
  2. Step 2: Convert to fraction form
    83,964.68/115,866.42 = 50,424.20/x
  3. Step 3: Cross multiply
    83,964.68x = 115,866.42 × 50,424.20
  4. Step 4: Simplify right side
    83,964.68x = 5,842,471,535.36
  5. Step 5: Solve for x
    x = 5,842,471,535.36/83,964.68
  6. Step 6: Final answer
    x = 69,582.49

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1.5x scale

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.