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Finding the Fourth Proportional to 47,814.66, 71,733.06 and 16,223.04

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Solution

The fourth proportional to 47,814.66, 71,733.06 and 16,223.04 is: 24,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,814.66 : 71,733.06 = 16,223.04 : x
  2. Step 2: Convert to fraction form
    47,814.66/71,733.06 = 16,223.04/x
  3. Step 3: Cross multiply
    47,814.66x = 71,733.06 × 16,223.04
  4. Step 4: Simplify right side
    47,814.66x = 1,163,728,301.70
  5. Step 5: Solve for x
    x = 1,163,728,301.70/47,814.66
  6. Step 6: Final answer
    x = 24,338.32

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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.