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Finding the Fourth Proportional to 47,981.64, 66,222.66 and 27,855.24

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Solution

The fourth proportional to 47,981.64, 66,222.66 and 27,855.24 is: 38,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981.64 : 66,222.66 = 27,855.24 : x
  2. Step 2: Convert to fraction form
    47,981.64/66,222.66 = 27,855.24/x
  3. Step 3: Cross multiply
    47,981.64x = 66,222.66 × 27,855.24
  4. Step 4: Simplify right side
    47,981.64x = 1,844,648,087.74
  5. Step 5: Solve for x
    x = 1,844,648,087.74/47,981.64
  6. Step 6: Final answer
    x = 38,444.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.