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Finding the Fourth Proportional to 51,428.60, 77,142.90 and 21,825.68

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Solution

The fourth proportional to 51,428.60, 77,142.90 and 21,825.68 is: 32,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,428.60 : 77,142.90 = 21,825.68 : x
  2. Step 2: Convert to fraction form
    51,428.60/77,142.90 = 21,825.68/x
  3. Step 3: Cross multiply
    51,428.60x = 77,142.90 × 21,825.68
  4. Step 4: Simplify right side
    51,428.60x = 1,683,695,754.83
  5. Step 5: Solve for x
    x = 1,683,695,754.83/51,428.60
  6. Step 6: Final answer
    x = 32,738.51

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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.