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Finding the Fourth Proportional to 83,928.36, 115,816.80 and 46,195.32

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Solution

The fourth proportional to 83,928.36, 115,816.80 and 46,195.32 is: 63,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,928.36 : 115,816.80 = 46,195.32 : x
  2. Step 2: Convert to fraction form
    83,928.36/115,816.80 = 46,195.32/x
  3. Step 3: Cross multiply
    83,928.36x = 115,816.80 × 46,195.32
  4. Step 4: Simplify right side
    83,928.36x = 5,350,194,137.38
  5. Step 5: Solve for x
    x = 5,350,194,137.38/83,928.36
  6. Step 6: Final answer
    x = 63,747.15

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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.