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Finding the Fourth Proportional to 76,422.69, 105,469.02 and 46,209.15

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Solution

The fourth proportional to 76,422.69, 105,469.02 and 46,209.15 is: 63,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422.69 : 105,469.02 = 46,209.15 : x
  2. Step 2: Convert to fraction form
    76,422.69/105,469.02 = 46,209.15/x
  3. Step 3: Cross multiply
    76,422.69x = 105,469.02 × 46,209.15
  4. Step 4: Simplify right side
    76,422.69x = 4,873,633,765.53
  5. Step 5: Solve for x
    x = 4,873,633,765.53/76,422.69
  6. Step 6: Final answer
    x = 63,772.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.