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Finding the Fourth Proportional to 122,597.14, 183,892.31 and 32,640.63

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Solution

The fourth proportional to 122,597.14, 183,892.31 and 32,640.63 is: 48,960.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,597.14 : 183,892.31 = 32,640.63 : x
  2. Step 2: Convert to fraction form
    122,597.14/183,892.31 = 32,640.63/x
  3. Step 3: Cross multiply
    122,597.14x = 183,892.31 × 32,640.63
  4. Step 4: Simplify right side
    122,597.14x = 6,002,360,729.16
  5. Step 5: Solve for x
    x = 6,002,360,729.16/122,597.14
  6. Step 6: Final answer
    x = 48,960.04

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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.