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Finding the Fourth Proportional to 31,091.88, 42,894.63 and 19,134.46

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Solution

The fourth proportional to 31,091.88, 42,894.63 and 19,134.46 is: 26,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,091.88 : 42,894.63 = 19,134.46 : x
  2. Step 2: Convert to fraction form
    31,091.88/42,894.63 = 19,134.46/x
  3. Step 3: Cross multiply
    31,091.88x = 42,894.63 × 19,134.46
  4. Step 4: Simplify right side
    31,091.88x = 820,765,474.71
  5. Step 5: Solve for x
    x = 820,765,474.71/31,091.88
  6. Step 6: Final answer
    x = 26,398.07

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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.