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Finding the Fourth Proportional to 83,716.44, 125,574.66 and 36,960

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Solution

The fourth proportional to 83,716.44, 125,574.66 and 36,960 is: 55,440

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,716.44 : 125,574.66 = 36,960 : x
  2. Step 2: Convert to fraction form
    83,716.44/125,574.66 = 36,960/x
  3. Step 3: Cross multiply
    83,716.44x = 125,574.66 × 36,960
  4. Step 4: Simplify right side
    83,716.44x = 4,641,239,433.60
  5. Step 5: Solve for x
    x = 4,641,239,433.60/83,716.44
  6. Step 6: Final answer
    x = 55,440

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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.