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Finding the Fourth Proportional to 31,125.54, 42,941 and 19,168.12

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Solution

The fourth proportional to 31,125.54, 42,941 and 19,168.12 is: 26,444.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,125.54 : 42,941 = 19,168.12 : x
  2. Step 2: Convert to fraction form
    31,125.54/42,941 = 19,168.12/x
  3. Step 3: Cross multiply
    31,125.54x = 42,941 × 19,168.12
  4. Step 4: Simplify right side
    31,125.54x = 823,098,240.92
  5. Step 5: Solve for x
    x = 823,098,240.92/31,125.54
  6. Step 6: Final answer
    x = 26,444.46

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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.