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Finding the Fourth Proportional to 76,729.38, 105,891.86 and 46,515.97

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Solution

The fourth proportional to 76,729.38, 105,891.86 and 46,515.97 is: 64,195.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,729.38 : 105,891.86 = 46,515.97 : x
  2. Step 2: Convert to fraction form
    76,729.38/105,891.86 = 46,515.97/x
  3. Step 3: Cross multiply
    76,729.38x = 105,891.86 × 46,515.97
  4. Step 4: Simplify right side
    76,729.38x = 4,925,662,831.66
  5. Step 5: Solve for x
    x = 4,925,662,831.66/76,729.38
  6. Step 6: Final answer
    x = 64,195.27

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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.