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Finding the Fourth Proportional to 83,283.28, 124,724.73 and 47,636.56

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Solution

The fourth proportional to 83,283.28, 124,724.73 and 47,636.56 is: 71,340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,283.28 : 124,724.73 = 47,636.56 : x
  2. Step 2: Convert to fraction form
    83,283.28/124,724.73 = 47,636.56/x
  3. Step 3: Cross multiply
    83,283.28x = 124,724.73 × 47,636.56
  4. Step 4: Simplify right side
    83,283.28x = 5,941,457,084.13
  5. Step 5: Solve for x
    x = 5,941,457,084.13/83,283.28
  6. Step 6: Final answer
    x = 71,340.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.