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Finding the Fourth Proportional to 51,693.83, 71,364.57 and 34,786.97

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Solution

The fourth proportional to 51,693.83, 71,364.57 and 34,786.97 is: 48,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,693.83 : 71,364.57 = 34,786.97 : x
  2. Step 2: Convert to fraction form
    51,693.83/71,364.57 = 34,786.97/x
  3. Step 3: Cross multiply
    51,693.83x = 71,364.57 × 34,786.97
  4. Step 4: Simplify right side
    51,693.83x = 2,482,557,155.65
  5. Step 5: Solve for x
    x = 2,482,557,155.65/51,693.83
  6. Step 6: Final answer
    x = 48,024.24

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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.