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Finding the Fourth Proportional to 31,000.86, 46,482.36 and 13,221.54

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Solution

The fourth proportional to 31,000.86, 46,482.36 and 13,221.54 is: 19,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.86 : 46,482.36 = 13,221.54 : x
  2. Step 2: Convert to fraction form
    31,000.86/46,482.36 = 13,221.54/x
  3. Step 3: Cross multiply
    31,000.86x = 46,482.36 × 13,221.54
  4. Step 4: Simplify right side
    31,000.86x = 614,568,382.03
  5. Step 5: Solve for x
    x = 614,568,382.03/31,000.86
  6. Step 6: Final answer
    x = 19,824.24

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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.