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Finding the Fourth Proportional to 31,080.66, 46,610.01 and 10,019.85

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Solution

The fourth proportional to 31,080.66, 46,610.01 and 10,019.85 is: 15,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,080.66 : 46,610.01 = 10,019.85 : x
  2. Step 2: Convert to fraction form
    31,080.66/46,610.01 = 10,019.85/x
  3. Step 3: Cross multiply
    31,080.66x = 46,610.01 × 10,019.85
  4. Step 4: Simplify right side
    31,080.66x = 467,025,308.70
  5. Step 5: Solve for x
    x = 467,025,308.70/31,080.66
  6. Step 6: Final answer
    x = 15,026.24

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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.