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Finding the Fourth Proportional to 40,051.32, 55,270.62 and 22,146

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Solution

The fourth proportional to 40,051.32, 55,270.62 and 22,146 is: 30,561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,051.32 : 55,270.62 = 22,146 : x
  2. Step 2: Convert to fraction form
    40,051.32/55,270.62 = 22,146/x
  3. Step 3: Cross multiply
    40,051.32x = 55,270.62 × 22,146
  4. Step 4: Simplify right side
    40,051.32x = 1,224,023,150.52
  5. Step 5: Solve for x
    x = 1,224,023,150.52/40,051.32
  6. Step 6: Final answer
    x = 30,561.37

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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.