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Finding the Fourth Proportional to 31,009.68, 46,513.48 and 13,479.50

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Solution

The fourth proportional to 31,009.68, 46,513.48 and 13,479.50 is: 20,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.68 : 46,513.48 = 13,479.50 : x
  2. Step 2: Convert to fraction form
    31,009.68/46,513.48 = 13,479.50/x
  3. Step 3: Cross multiply
    31,009.68x = 46,513.48 × 13,479.50
  4. Step 4: Simplify right side
    31,009.68x = 626,978,453.66
  5. Step 5: Solve for x
    x = 626,978,453.66/31,009.68
  6. Step 6: Final answer
    x = 20,218.80

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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.