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Finding the Fourth Proportional to 31,157.36, 42,983.12 and 19,221.20

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Solution

The fourth proportional to 31,157.36, 42,983.12 and 19,221.20 is: 26,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.36 : 42,983.12 = 19,221.20 : x
  2. Step 2: Convert to fraction form
    31,157.36/42,983.12 = 19,221.20/x
  3. Step 3: Cross multiply
    31,157.36x = 42,983.12 × 19,221.20
  4. Step 4: Simplify right side
    31,157.36x = 826,187,146.14
  5. Step 5: Solve for x
    x = 826,187,146.14/31,157.36
  6. Step 6: Final answer
    x = 26,516.60

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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.