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Finding the Fourth Proportional to 40,464, 55,848 and 22,800

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Solution

The fourth proportional to 40,464, 55,848 and 22,800 is: 31,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,464 : 55,848 = 22,800 : x
  2. Step 2: Convert to fraction form
    40,464/55,848 = 22,800/x
  3. Step 3: Cross multiply
    40,464x = 55,848 × 22,800
  4. Step 4: Simplify right side
    40,464x = 1,273,334,400
  5. Step 5: Solve for x
    x = 1,273,334,400/40,464
  6. Step 6: Final answer
    x = 31,468.33

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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.