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Finding the Fourth Proportional to 30,908.61, 46,371.56 and 10,146.69

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Solution

The fourth proportional to 30,908.61, 46,371.56 and 10,146.69 is: 15,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,908.61 : 46,371.56 = 10,146.69 : x
  2. Step 2: Convert to fraction form
    30,908.61/46,371.56 = 10,146.69/x
  3. Step 3: Cross multiply
    30,908.61x = 46,371.56 × 10,146.69
  4. Step 4: Simplify right side
    30,908.61x = 470,517,793.40
  5. Step 5: Solve for x
    x = 470,517,793.40/30,908.61
  6. Step 6: Final answer
    x = 15,222.87

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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.