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Finding the Fourth Proportional to 31,157.12, 42,995 and 17,007.12

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Solution

The fourth proportional to 31,157.12, 42,995 and 17,007.12 is: 23,468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.12 : 42,995 = 17,007.12 : x
  2. Step 2: Convert to fraction form
    31,157.12/42,995 = 17,007.12/x
  3. Step 3: Cross multiply
    31,157.12x = 42,995 × 17,007.12
  4. Step 4: Simplify right side
    31,157.12x = 731,221,124.40
  5. Step 5: Solve for x
    x = 731,221,124.40/31,157.12
  6. Step 6: Final answer
    x = 23,468.83

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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.