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Finding the Fourth Proportional to 95,102.68, 131,243.76 and 52,084

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Solution

The fourth proportional to 95,102.68, 131,243.76 and 52,084 is: 71,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,102.68 : 131,243.76 = 52,084 : x
  2. Step 2: Convert to fraction form
    95,102.68/131,243.76 = 52,084/x
  3. Step 3: Cross multiply
    95,102.68x = 131,243.76 × 52,084
  4. Step 4: Simplify right side
    95,102.68x = 6,835,699,995.84
  5. Step 5: Solve for x
    x = 6,835,699,995.84/95,102.68
  6. Step 6: Final answer
    x = 71,877.05

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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.