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Finding the Fourth Proportional to 31,145.47, 46,690.42 and 11,419.43

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Solution

The fourth proportional to 31,145.47, 46,690.42 and 11,419.43 is: 17,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.47 : 46,690.42 = 11,419.43 : x
  2. Step 2: Convert to fraction form
    31,145.47/46,690.42 = 11,419.43/x
  3. Step 3: Cross multiply
    31,145.47x = 46,690.42 × 11,419.43
  4. Step 4: Simplify right side
    31,145.47x = 533,177,982.86
  5. Step 5: Solve for x
    x = 533,177,982.86/31,145.47
  6. Step 6: Final answer
    x = 17,118.96

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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.