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Finding the Fourth Proportional to 30,997.42, 42,775.02 and 17,567.88

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Solution

The fourth proportional to 30,997.42, 42,775.02 and 17,567.88 is: 24,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.42 : 42,775.02 = 17,567.88 : x
  2. Step 2: Convert to fraction form
    30,997.42/42,775.02 = 17,567.88/x
  3. Step 3: Cross multiply
    30,997.42x = 42,775.02 × 17,567.88
  4. Step 4: Simplify right side
    30,997.42x = 751,466,418.36
  5. Step 5: Solve for x
    x = 751,466,418.36/30,997.42
  6. Step 6: Final answer
    x = 24,242.87

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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.