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Finding the Fourth Proportional to 31,106.60, 46,659.90 and 27,218.60

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Solution

The fourth proportional to 31,106.60, 46,659.90 and 27,218.60 is: 40,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.60 : 46,659.90 = 27,218.60 : x
  2. Step 2: Convert to fraction form
    31,106.60/46,659.90 = 27,218.60/x
  3. Step 3: Cross multiply
    31,106.60x = 46,659.90 × 27,218.60
  4. Step 4: Simplify right side
    31,106.60x = 1,270,017,154.14
  5. Step 5: Solve for x
    x = 1,270,017,154.14/31,106.60
  6. Step 6: Final answer
    x = 40,827.90

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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.