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Finding the Fourth Proportional to 29,322, 40,464.36 and 16,074

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Solution

The fourth proportional to 29,322, 40,464.36 and 16,074 is: 22,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,322 : 40,464.36 = 16,074 : x
  2. Step 2: Convert to fraction form
    29,322/40,464.36 = 16,074/x
  3. Step 3: Cross multiply
    29,322x = 40,464.36 × 16,074
  4. Step 4: Simplify right side
    29,322x = 650,424,122.64
  5. Step 5: Solve for x
    x = 650,424,122.64/29,322
  6. Step 6: Final answer
    x = 22,182.12

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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.