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Finding the Fourth Proportional to 31,093.60, 46,623.30 and 21,244

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Solution

The fourth proportional to 31,093.60, 46,623.30 and 21,244 is: 31,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.60 : 46,623.30 = 21,244 : x
  2. Step 2: Convert to fraction form
    31,093.60/46,623.30 = 21,244/x
  3. Step 3: Cross multiply
    31,093.60x = 46,623.30 × 21,244
  4. Step 4: Simplify right side
    31,093.60x = 990,465,385.20
  5. Step 5: Solve for x
    x = 990,465,385.20/31,093.60
  6. Step 6: Final answer
    x = 31,854.32

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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.