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Finding the Fourth Proportional to 31,858.80, 43,965 and 17,710.80

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Solution

The fourth proportional to 31,858.80, 43,965 and 17,710.80 is: 24,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.80 : 43,965 = 17,710.80 : x
  2. Step 2: Convert to fraction form
    31,858.80/43,965 = 17,710.80/x
  3. Step 3: Cross multiply
    31,858.80x = 43,965 × 17,710.80
  4. Step 4: Simplify right side
    31,858.80x = 778,655,322
  5. Step 5: Solve for x
    x = 778,655,322/31,858.80
  6. Step 6: Final answer
    x = 24,440.82

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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.