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Finding the Fourth Proportional to 52,997.88, 73,116.12 and 34,146

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Solution

The fourth proportional to 52,997.88, 73,116.12 and 34,146 is: 47,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,997.88 : 73,116.12 = 34,146 : x
  2. Step 2: Convert to fraction form
    52,997.88/73,116.12 = 34,146/x
  3. Step 3: Cross multiply
    52,997.88x = 73,116.12 × 34,146
  4. Step 4: Simplify right side
    52,997.88x = 2,496,623,033.52
  5. Step 5: Solve for x
    x = 2,496,623,033.52/52,997.88
  6. Step 6: Final answer
    x = 47,107.98

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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.