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Finding the Fourth Proportional to 31,285, 43,176.90 and 17,858.17

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Solution

The fourth proportional to 31,285, 43,176.90 and 17,858.17 is: 24,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,285 : 43,176.90 = 17,858.17 : x
  2. Step 2: Convert to fraction form
    31,285/43,176.90 = 17,858.17/x
  3. Step 3: Cross multiply
    31,285x = 43,176.90 × 17,858.17
  4. Step 4: Simplify right side
    31,285x = 771,060,420.27
  5. Step 5: Solve for x
    x = 771,060,420.27/31,285
  6. Step 6: Final answer
    x = 24,646.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.