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Finding the Fourth Proportional to 48,622.50, 72,955.71 and 27,846

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Solution

The fourth proportional to 48,622.50, 72,955.71 and 27,846 is: 41,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,622.50 : 72,955.71 = 27,846 : x
  2. Step 2: Convert to fraction form
    48,622.50/72,955.71 = 27,846/x
  3. Step 3: Cross multiply
    48,622.50x = 72,955.71 × 27,846
  4. Step 4: Simplify right side
    48,622.50x = 2,031,524,700.66
  5. Step 5: Solve for x
    x = 2,031,524,700.66/48,622.50
  6. Step 6: Final answer
    x = 41,781.58

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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.