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Finding the Fourth Proportional to 49,570, 68,375.41 and 29,412.58

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Solution

The fourth proportional to 49,570, 68,375.41 and 29,412.58 is: 40,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,570 : 68,375.41 = 29,412.58 : x
  2. Step 2: Convert to fraction form
    49,570/68,375.41 = 29,412.58/x
  3. Step 3: Cross multiply
    49,570x = 68,375.41 × 29,412.58
  4. Step 4: Simplify right side
    49,570x = 2,011,097,216.66
  5. Step 5: Solve for x
    x = 2,011,097,216.66/49,570
  6. Step 6: Final answer
    x = 40,570.85

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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.