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Finding the Fourth Proportional to 30,924.96, 42,629.88 and 24,198.90

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Solution

The fourth proportional to 30,924.96, 42,629.88 and 24,198.90 is: 33,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924.96 : 42,629.88 = 24,198.90 : x
  2. Step 2: Convert to fraction form
    30,924.96/42,629.88 = 24,198.90/x
  3. Step 3: Cross multiply
    30,924.96x = 42,629.88 × 24,198.90
  4. Step 4: Simplify right side
    30,924.96x = 1,031,596,203.13
  5. Step 5: Solve for x
    x = 1,031,596,203.13/30,924.96
  6. Step 6: Final answer
    x = 33,358.04

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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.