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Finding the Fourth Proportional to 30,998.30, 42,731.16 and 24,272.25

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Solution

The fourth proportional to 30,998.30, 42,731.16 and 24,272.25 is: 33,459.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.30 : 42,731.16 = 24,272.25 : x
  2. Step 2: Convert to fraction form
    30,998.30/42,731.16 = 24,272.25/x
  3. Step 3: Cross multiply
    30,998.30x = 42,731.16 × 24,272.25
  4. Step 4: Simplify right side
    30,998.30x = 1,037,181,398.31
  5. Step 5: Solve for x
    x = 1,037,181,398.31/30,998.30
  6. Step 6: Final answer
    x = 33,459.30

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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.