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Finding the Fourth Proportional to 34,811.68, 48,022.32 and 22,223.20

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Solution

The fourth proportional to 34,811.68, 48,022.32 and 22,223.20 is: 30,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,811.68 : 48,022.32 = 22,223.20 : x
  2. Step 2: Convert to fraction form
    34,811.68/48,022.32 = 22,223.20/x
  3. Step 3: Cross multiply
    34,811.68x = 48,022.32 × 22,223.20
  4. Step 4: Simplify right side
    34,811.68x = 1,067,209,621.82
  5. Step 5: Solve for x
    x = 1,067,209,621.82/34,811.68
  6. Step 6: Final answer
    x = 30,656.65

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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.