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Finding the Fourth Proportional to 30,471.30, 42,049.11 and 17,724.51

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Solution

The fourth proportional to 30,471.30, 42,049.11 and 17,724.51 is: 24,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.30 : 42,049.11 = 17,724.51 : x
  2. Step 2: Convert to fraction form
    30,471.30/42,049.11 = 17,724.51/x
  3. Step 3: Cross multiply
    30,471.30x = 42,049.11 × 17,724.51
  4. Step 4: Simplify right side
    30,471.30x = 745,299,870.69
  5. Step 5: Solve for x
    x = 745,299,870.69/30,471.30
  6. Step 6: Final answer
    x = 24,459.08

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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.