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Finding the Fourth Proportional to 37,424.48, 51,645.30 and 20,429

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Solution

The fourth proportional to 37,424.48, 51,645.30 and 20,429 is: 28,191.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,424.48 : 51,645.30 = 20,429 : x
  2. Step 2: Convert to fraction form
    37,424.48/51,645.30 = 20,429/x
  3. Step 3: Cross multiply
    37,424.48x = 51,645.30 × 20,429
  4. Step 4: Simplify right side
    37,424.48x = 1,055,061,833.70
  5. Step 5: Solve for x
    x = 1,055,061,833.70/37,424.48
  6. Step 6: Final answer
    x = 28,191.76

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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.