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Finding the Fourth Proportional to 49,704.32, 68,578.32 and 34,580

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Solution

The fourth proportional to 49,704.32, 68,578.32 and 34,580 is: 47,710.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,704.32 : 68,578.32 = 34,580 : x
  2. Step 2: Convert to fraction form
    49,704.32/68,578.32 = 34,580/x
  3. Step 3: Cross multiply
    49,704.32x = 68,578.32 × 34,580
  4. Step 4: Simplify right side
    49,704.32x = 2,371,438,305.60
  5. Step 5: Solve for x
    x = 2,371,438,305.60/49,704.32
  6. Step 6: Final answer
    x = 47,710.91

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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.