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Finding the Fourth Proportional to 70,836.17, 106,237.24 and 20,902.78

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Solution

The fourth proportional to 70,836.17, 106,237.24 and 20,902.78 is: 31,349.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,836.17 : 106,237.24 = 20,902.78 : x
  2. Step 2: Convert to fraction form
    70,836.17/106,237.24 = 20,902.78/x
  3. Step 3: Cross multiply
    70,836.17x = 106,237.24 × 20,902.78
  4. Step 4: Simplify right side
    70,836.17x = 2,220,653,655.53
  5. Step 5: Solve for x
    x = 2,220,653,655.53/70,836.17
  6. Step 6: Final answer
    x = 31,349.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.