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Finding the Fourth Proportional to 51,343.14, 76,981.76 and 21,378.14

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Solution

The fourth proportional to 51,343.14, 76,981.76 and 21,378.14 is: 32,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,343.14 : 76,981.76 = 21,378.14 : x
  2. Step 2: Convert to fraction form
    51,343.14/76,981.76 = 21,378.14/x
  3. Step 3: Cross multiply
    51,343.14x = 76,981.76 × 21,378.14
  4. Step 4: Simplify right side
    51,343.14x = 1,645,726,350.93
  5. Step 5: Solve for x
    x = 1,645,726,350.93/51,343.14
  6. Step 6: Final answer
    x = 32,053.48

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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.