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Finding the Fourth Proportional to 30,474.24, 42,045.12 and 19,860

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Solution

The fourth proportional to 30,474.24, 42,045.12 and 19,860 is: 27,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,474.24 : 42,045.12 = 19,860 : x
  2. Step 2: Convert to fraction form
    30,474.24/42,045.12 = 19,860/x
  3. Step 3: Cross multiply
    30,474.24x = 42,045.12 × 19,860
  4. Step 4: Simplify right side
    30,474.24x = 835,016,083.20
  5. Step 5: Solve for x
    x = 835,016,083.20/30,474.24
  6. Step 6: Final answer
    x = 27,400.72

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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.