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Finding the Fourth Proportional to 49,098.98, 67,782.24 and 38,320.70

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Solution

The fourth proportional to 49,098.98, 67,782.24 and 38,320.70 is: 52,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098.98 : 67,782.24 = 38,320.70 : x
  2. Step 2: Convert to fraction form
    49,098.98/67,782.24 = 38,320.70/x
  3. Step 3: Cross multiply
    49,098.98x = 67,782.24 × 38,320.70
  4. Step 4: Simplify right side
    49,098.98x = 2,597,462,884.37
  5. Step 5: Solve for x
    x = 2,597,462,884.37/49,098.98
  6. Step 6: Final answer
    x = 52,902.58

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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.