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Finding the Fourth Proportional to 76,205.39, 105,214.78 and 47,568.65

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Solution

The fourth proportional to 76,205.39, 105,214.78 and 47,568.65 is: 65,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.39 : 105,214.78 = 47,568.65 : x
  2. Step 2: Convert to fraction form
    76,205.39/105,214.78 = 47,568.65/x
  3. Step 3: Cross multiply
    76,205.39x = 105,214.78 × 47,568.65
  4. Step 4: Simplify right side
    76,205.39x = 5,004,925,044.65
  5. Step 5: Solve for x
    x = 5,004,925,044.65/76,205.39
  6. Step 6: Final answer
    x = 65,676.79

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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.