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Finding the Fourth Proportional to 51,243.71, 70,749.21 and 32,149.64

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Solution

The fourth proportional to 51,243.71, 70,749.21 and 32,149.64 is: 44,387.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,243.71 : 70,749.21 = 32,149.64 : x
  2. Step 2: Convert to fraction form
    51,243.71/70,749.21 = 32,149.64/x
  3. Step 3: Cross multiply
    51,243.71x = 70,749.21 × 32,149.64
  4. Step 4: Simplify right side
    51,243.71x = 2,274,561,278.04
  5. Step 5: Solve for x
    x = 2,274,561,278.04/51,243.71
  6. Step 6: Final answer
    x = 44,387.14

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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.