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Finding the Fourth Proportional to 31,378.60, 46,990.14 and 17,498.44

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Solution

The fourth proportional to 31,378.60, 46,990.14 and 17,498.44 is: 26,204.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.60 : 46,990.14 = 17,498.44 : x
  2. Step 2: Convert to fraction form
    31,378.60/46,990.14 = 17,498.44/x
  3. Step 3: Cross multiply
    31,378.60x = 46,990.14 × 17,498.44
  4. Step 4: Simplify right side
    31,378.60x = 822,254,145.38
  5. Step 5: Solve for x
    x = 822,254,145.38/31,378.60
  6. Step 6: Final answer
    x = 26,204.30

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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.