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Finding the Fourth Proportional to 83,541.76, 115,287.78 and 45,816.28

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Solution

The fourth proportional to 83,541.76, 115,287.78 and 45,816.28 is: 63,226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,541.76 : 115,287.78 = 45,816.28 : x
  2. Step 2: Convert to fraction form
    83,541.76/115,287.78 = 45,816.28/x
  3. Step 3: Cross multiply
    83,541.76x = 115,287.78 × 45,816.28
  4. Step 4: Simplify right side
    83,541.76x = 5,282,057,209.06
  5. Step 5: Solve for x
    x = 5,282,057,209.06/83,541.76
  6. Step 6: Final answer
    x = 63,226.55

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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.