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Finding the Fourth Proportional to 71,757, 99,024.66 and 41,949

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Solution

The fourth proportional to 71,757, 99,024.66 and 41,949 is: 57,889.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757 : 99,024.66 = 41,949 : x
  2. Step 2: Convert to fraction form
    71,757/99,024.66 = 41,949/x
  3. Step 3: Cross multiply
    71,757x = 99,024.66 × 41,949
  4. Step 4: Simplify right side
    71,757x = 4,153,985,462.34
  5. Step 5: Solve for x
    x = 4,153,985,462.34/71,757
  6. Step 6: Final answer
    x = 57,889.62

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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.