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Finding the Fourth Proportional to 137,027.70, 205,541.55 and 48,381.30

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Solution

The fourth proportional to 137,027.70, 205,541.55 and 48,381.30 is: 72,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,027.70 : 205,541.55 = 48,381.30 : x
  2. Step 2: Convert to fraction form
    137,027.70/205,541.55 = 48,381.30/x
  3. Step 3: Cross multiply
    137,027.70x = 205,541.55 × 48,381.30
  4. Step 4: Simplify right side
    137,027.70x = 9,944,367,393.02
  5. Step 5: Solve for x
    x = 9,944,367,393.02/137,027.70
  6. Step 6: Final answer
    x = 72,571.95

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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.