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Finding the Fourth Proportional to 52,098, 71,896.71 and 29,437.95

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Solution

The fourth proportional to 52,098, 71,896.71 and 29,437.95 is: 40,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098 : 71,896.71 = 29,437.95 : x
  2. Step 2: Convert to fraction form
    52,098/71,896.71 = 29,437.95/x
  3. Step 3: Cross multiply
    52,098x = 71,896.71 × 29,437.95
  4. Step 4: Simplify right side
    52,098x = 2,116,491,754.14
  5. Step 5: Solve for x
    x = 2,116,491,754.14/52,098
  6. Step 6: Final answer
    x = 40,625.20

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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.