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Finding the Fourth Proportional to 83,953.28, 115,853.28 and 46,227.84

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Solution

The fourth proportional to 83,953.28, 115,853.28 and 46,227.84 is: 63,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,953.28 : 115,853.28 = 46,227.84 : x
  2. Step 2: Convert to fraction form
    83,953.28/115,853.28 = 46,227.84/x
  3. Step 3: Cross multiply
    83,953.28x = 115,853.28 × 46,227.84
  4. Step 4: Simplify right side
    83,953.28x = 5,355,646,891.32
  5. Step 5: Solve for x
    x = 5,355,646,891.32/83,953.28
  6. Step 6: Final answer
    x = 63,793.18

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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.