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Finding the Fourth Proportional to 31,150.88, 46,709.04 and 10,363.04

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Solution

The fourth proportional to 31,150.88, 46,709.04 and 10,363.04 is: 15,538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,150.88 : 46,709.04 = 10,363.04 : x
  2. Step 2: Convert to fraction form
    31,150.88/46,709.04 = 10,363.04/x
  3. Step 3: Cross multiply
    31,150.88x = 46,709.04 × 10,363.04
  4. Step 4: Simplify right side
    31,150.88x = 484,047,649.88
  5. Step 5: Solve for x
    x = 484,047,649.88/31,150.88
  6. Step 6: Final answer
    x = 15,538.81

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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.