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Finding the Fourth Proportional to 123,696.63, 185,420.25 and 48,787.83

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Solution

The fourth proportional to 123,696.63, 185,420.25 and 48,787.83 is: 73,132.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,696.63 : 185,420.25 = 48,787.83 : x
  2. Step 2: Convert to fraction form
    123,696.63/185,420.25 = 48,787.83/x
  3. Step 3: Cross multiply
    123,696.63x = 185,420.25 × 48,787.83
  4. Step 4: Simplify right side
    123,696.63x = 9,046,251,635.56
  5. Step 5: Solve for x
    x = 9,046,251,635.56/123,696.63
  6. Step 6: Final answer
    x = 73,132.56

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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.