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Finding the Fourth Proportional to 31,056.40, 46,633.20 and 22,794.40

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Solution

The fourth proportional to 31,056.40, 46,633.20 and 22,794.40 is: 34,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.40 : 46,633.20 = 22,794.40 : x
  2. Step 2: Convert to fraction form
    31,056.40/46,633.20 = 22,794.40/x
  3. Step 3: Cross multiply
    31,056.40x = 46,633.20 × 22,794.40
  4. Step 4: Simplify right side
    31,056.40x = 1,062,975,814.08
  5. Step 5: Solve for x
    x = 1,062,975,814.08/31,056.40
  6. Step 6: Final answer
    x = 34,227.27

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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.