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Finding the Fourth Proportional to 31,129.40, 46,694.10 and 10,350.20

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Solution

The fourth proportional to 31,129.40, 46,694.10 and 10,350.20 is: 15,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.40 : 46,694.10 = 10,350.20 : x
  2. Step 2: Convert to fraction form
    31,129.40/46,694.10 = 10,350.20/x
  3. Step 3: Cross multiply
    31,129.40x = 46,694.10 × 10,350.20
  4. Step 4: Simplify right side
    31,129.40x = 483,293,273.82
  5. Step 5: Solve for x
    x = 483,293,273.82/31,129.40
  6. Step 6: Final answer
    x = 15,525.30

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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.