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Finding the Fourth Proportional to 34,384.49, 51,636.17 and 20,432.17

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Solution

The fourth proportional to 34,384.49, 51,636.17 and 20,432.17 is: 30,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,384.49 : 51,636.17 = 20,432.17 : x
  2. Step 2: Convert to fraction form
    34,384.49/51,636.17 = 20,432.17/x
  3. Step 3: Cross multiply
    34,384.49x = 51,636.17 × 20,432.17
  4. Step 4: Simplify right side
    34,384.49x = 1,055,039,003.59
  5. Step 5: Solve for x
    x = 1,055,039,003.59/34,384.49
  6. Step 6: Final answer
    x = 30,683.57

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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.