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Finding the Fourth Proportional to 40,417.20, 55,777.28 and 23,422

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Solution

The fourth proportional to 40,417.20, 55,777.28 and 23,422 is: 32,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,417.20 : 55,777.28 = 23,422 : x
  2. Step 2: Convert to fraction form
    40,417.20/55,777.28 = 23,422/x
  3. Step 3: Cross multiply
    40,417.20x = 55,777.28 × 23,422
  4. Step 4: Simplify right side
    40,417.20x = 1,306,415,452.16
  5. Step 5: Solve for x
    x = 1,306,415,452.16/40,417.20
  6. Step 6: Final answer
    x = 32,323.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.