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Finding the Fourth Proportional to 51,670.98, 71,288.10 and 29,006.82

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Solution

The fourth proportional to 51,670.98, 71,288.10 and 29,006.82 is: 40,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,670.98 : 71,288.10 = 29,006.82 : x
  2. Step 2: Convert to fraction form
    51,670.98/71,288.10 = 29,006.82/x
  3. Step 3: Cross multiply
    51,670.98x = 71,288.10 × 29,006.82
  4. Step 4: Simplify right side
    51,670.98x = 2,067,841,084.84
  5. Step 5: Solve for x
    x = 2,067,841,084.84/51,670.98
  6. Step 6: Final answer
    x = 40,019.39

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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.