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Finding the Fourth Proportional to 31,157.85, 42,997.53 and 19,216.41

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Solution

The fourth proportional to 31,157.85, 42,997.53 and 19,216.41 is: 26,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.85 : 42,997.53 = 19,216.41 : x
  2. Step 2: Convert to fraction form
    31,157.85/42,997.53 = 19,216.41/x
  3. Step 3: Cross multiply
    31,157.85x = 42,997.53 × 19,216.41
  4. Step 4: Simplify right side
    31,157.85x = 826,258,165.47
  5. Step 5: Solve for x
    x = 826,258,165.47/31,157.85
  6. Step 6: Final answer
    x = 26,518.46

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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.