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Finding the Fourth Proportional to 31,217.80, 46,785.84 and 27,259.08

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Solution

The fourth proportional to 31,217.80, 46,785.84 and 27,259.08 is: 40,852.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,217.80 : 46,785.84 = 27,259.08 : x
  2. Step 2: Convert to fraction form
    31,217.80/46,785.84 = 27,259.08/x
  3. Step 3: Cross multiply
    31,217.80x = 46,785.84 × 27,259.08
  4. Step 4: Simplify right side
    31,217.80x = 1,275,338,955.43
  5. Step 5: Solve for x
    x = 1,275,338,955.43/31,217.80
  6. Step 6: Final answer
    x = 40,852.94

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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.