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Finding the Fourth Proportional to 57,378.50, 79,189.76 and 32,228

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Solution

The fourth proportional to 57,378.50, 79,189.76 and 32,228 is: 44,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,378.50 : 79,189.76 = 32,228 : x
  2. Step 2: Convert to fraction form
    57,378.50/79,189.76 = 32,228/x
  3. Step 3: Cross multiply
    57,378.50x = 79,189.76 × 32,228
  4. Step 4: Simplify right side
    57,378.50x = 2,552,127,424.14
  5. Step 5: Solve for x
    x = 2,552,127,424.14/57,378.50
  6. Step 6: Final answer
    x = 44,478.81

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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.