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Finding the Fourth Proportional to 83,268.75, 114,908.02 and 47,470.30

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Solution

The fourth proportional to 83,268.75, 114,908.02 and 47,470.30 is: 65,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,268.75 : 114,908.02 = 47,470.30 : x
  2. Step 2: Convert to fraction form
    83,268.75/114,908.02 = 47,470.30/x
  3. Step 3: Cross multiply
    83,268.75x = 114,908.02 × 47,470.30
  4. Step 4: Simplify right side
    83,268.75x = 5,454,718,181.81
  5. Step 5: Solve for x
    x = 5,454,718,181.81/83,268.75
  6. Step 6: Final answer
    x = 65,507.39

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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.