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Finding the Fourth Proportional to 48,079.92, 72,122.95 and 18,497.76

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Solution

The fourth proportional to 48,079.92, 72,122.95 and 18,497.76 is: 27,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,079.92 : 72,122.95 = 18,497.76 : x
  2. Step 2: Convert to fraction form
    48,079.92/72,122.95 = 18,497.76/x
  3. Step 3: Cross multiply
    48,079.92x = 72,122.95 × 18,497.76
  4. Step 4: Simplify right side
    48,079.92x = 1,334,112,772.25
  5. Step 5: Solve for x
    x = 1,334,112,772.25/48,079.92
  6. Step 6: Final answer
    x = 27,747.82

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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.