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Finding the Fourth Proportional to 31,050.06, 46,571.85 and 8,862

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Solution

The fourth proportional to 31,050.06, 46,571.85 and 8,862 is: 13,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050.06 : 46,571.85 = 8,862 : x
  2. Step 2: Convert to fraction form
    31,050.06/46,571.85 = 8,862/x
  3. Step 3: Cross multiply
    31,050.06x = 46,571.85 × 8,862
  4. Step 4: Simplify right side
    31,050.06x = 412,719,734.70
  5. Step 5: Solve for x
    x = 412,719,734.70/31,050.06
  6. Step 6: Final answer
    x = 13,292.08

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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.