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Finding the Fourth Proportional to 40,348, 55,680.46 and 23,352.24

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Solution

The fourth proportional to 40,348, 55,680.46 and 23,352.24 is: 32,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348 : 55,680.46 = 23,352.24 : x
  2. Step 2: Convert to fraction form
    40,348/55,680.46 = 23,352.24/x
  3. Step 3: Cross multiply
    40,348x = 55,680.46 × 23,352.24
  4. Step 4: Simplify right side
    40,348x = 1,300,263,465.23
  5. Step 5: Solve for x
    x = 1,300,263,465.23/40,348
  6. Step 6: Final answer
    x = 32,226.22

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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.