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Finding the Fourth Proportional to 40,181, 55,448.24 and 22,276.32

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Solution

The fourth proportional to 40,181, 55,448.24 and 22,276.32 is: 30,740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,181 : 55,448.24 = 22,276.32 : x
  2. Step 2: Convert to fraction form
    40,181/55,448.24 = 22,276.32/x
  3. Step 3: Cross multiply
    40,181x = 55,448.24 × 22,276.32
  4. Step 4: Simplify right side
    40,181x = 1,235,182,737.68
  5. Step 5: Solve for x
    x = 1,235,182,737.68/40,181
  6. Step 6: Final answer
    x = 30,740.47

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1.5x scale

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.