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Finding the Fourth Proportional to 62,172.84, 93,286.80 and 32,583.61

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Solution

The fourth proportional to 62,172.84, 93,286.80 and 32,583.61 is: 48,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,172.84 : 93,286.80 = 32,583.61 : x
  2. Step 2: Convert to fraction form
    62,172.84/93,286.80 = 32,583.61/x
  3. Step 3: Cross multiply
    62,172.84x = 93,286.80 × 32,583.61
  4. Step 4: Simplify right side
    62,172.84x = 3,039,620,476.13
  5. Step 5: Solve for x
    x = 3,039,620,476.13/62,172.84
  6. Step 6: Final answer
    x = 48,889.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.