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Finding the Fourth Proportional to 70,228.50, 105,353.24 and 25,851.84

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Solution

The fourth proportional to 70,228.50, 105,353.24 and 25,851.84 is: 38,781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,228.50 : 105,353.24 = 25,851.84 : x
  2. Step 2: Convert to fraction form
    70,228.50/105,353.24 = 25,851.84/x
  3. Step 3: Cross multiply
    70,228.50x = 105,353.24 × 25,851.84
  4. Step 4: Simplify right side
    70,228.50x = 2,723,574,974.70
  5. Step 5: Solve for x
    x = 2,723,574,974.70/70,228.50
  6. Step 6: Final answer
    x = 38,781.62

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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.