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Finding the Fourth Proportional to 30,670.88, 46,016.04 and 10,949

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Solution

The fourth proportional to 30,670.88, 46,016.04 and 10,949 is: 16,426.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.88 : 46,016.04 = 10,949 : x
  2. Step 2: Convert to fraction form
    30,670.88/46,016.04 = 10,949/x
  3. Step 3: Cross multiply
    30,670.88x = 46,016.04 × 10,949
  4. Step 4: Simplify right side
    30,670.88x = 503,829,621.96
  5. Step 5: Solve for x
    x = 503,829,621.96/30,670.88
  6. Step 6: Final answer
    x = 16,426.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.