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Finding the Fourth Proportional to 71,289, 98,375.46 and 39,022.98

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Solution

The fourth proportional to 71,289, 98,375.46 and 39,022.98 is: 53,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,289 : 98,375.46 = 39,022.98 : x
  2. Step 2: Convert to fraction form
    71,289/98,375.46 = 39,022.98/x
  3. Step 3: Cross multiply
    71,289x = 98,375.46 × 39,022.98
  4. Step 4: Simplify right side
    71,289x = 3,838,903,608.07
  5. Step 5: Solve for x
    x = 3,838,903,608.07/71,289
  6. Step 6: Final answer
    x = 53,849.87

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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.