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Finding the Fourth Proportional to 40,414, 55,773.05 and 22,509

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Solution

The fourth proportional to 40,414, 55,773.05 and 22,509 is: 31,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,414 : 55,773.05 = 22,509 : x
  2. Step 2: Convert to fraction form
    40,414/55,773.05 = 22,509/x
  3. Step 3: Cross multiply
    40,414x = 55,773.05 × 22,509
  4. Step 4: Simplify right side
    40,414x = 1,255,395,582.45
  5. Step 5: Solve for x
    x = 1,255,395,582.45/40,414
  6. Step 6: Final answer
    x = 31,063.38

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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.