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Finding the Fourth Proportional to 83,032.74, 114,584.52 and 47,222.70

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Solution

The fourth proportional to 83,032.74, 114,584.52 and 47,222.70 is: 65,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,032.74 : 114,584.52 = 47,222.70 : x
  2. Step 2: Convert to fraction form
    83,032.74/114,584.52 = 47,222.70/x
  3. Step 3: Cross multiply
    83,032.74x = 114,584.52 × 47,222.70
  4. Step 4: Simplify right side
    83,032.74x = 5,410,990,412.60
  5. Step 5: Solve for x
    x = 5,410,990,412.60/83,032.74
  6. Step 6: Final answer
    x = 65,166.95

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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.