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Finding the Fourth Proportional to 50,758.75, 70,046.65 and 28,097.78

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Solution

The fourth proportional to 50,758.75, 70,046.65 and 28,097.78 is: 38,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,758.75 : 70,046.65 = 28,097.78 : x
  2. Step 2: Convert to fraction form
    50,758.75/70,046.65 = 28,097.78/x
  3. Step 3: Cross multiply
    50,758.75x = 70,046.65 × 28,097.78
  4. Step 4: Simplify right side
    50,758.75x = 1,968,155,466.31
  5. Step 5: Solve for x
    x = 1,968,155,466.31/50,758.75
  6. Step 6: Final answer
    x = 38,774.71

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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.