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Finding the Fourth Proportional to 46,471.20, 69,667.62 and 20,156.13

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Solution

The fourth proportional to 46,471.20, 69,667.62 and 20,156.13 is: 30,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,471.20 : 69,667.62 = 20,156.13 : x
  2. Step 2: Convert to fraction form
    46,471.20/69,667.62 = 20,156.13/x
  3. Step 3: Cross multiply
    46,471.20x = 69,667.62 × 20,156.13
  4. Step 4: Simplify right side
    46,471.20x = 1,404,229,605.51
  5. Step 5: Solve for x
    x = 1,404,229,605.51/46,471.20
  6. Step 6: Final answer
    x = 30,217.20

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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.