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Finding the Fourth Proportional to 31,065.76, 42,872.52 and 19,141.84

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Solution

The fourth proportional to 31,065.76, 42,872.52 and 19,141.84 is: 26,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.76 : 42,872.52 = 19,141.84 : x
  2. Step 2: Convert to fraction form
    31,065.76/42,872.52 = 19,141.84/x
  3. Step 3: Cross multiply
    31,065.76x = 42,872.52 × 19,141.84
  4. Step 4: Simplify right side
    31,065.76x = 820,658,918.24
  5. Step 5: Solve for x
    x = 820,658,918.24/31,065.76
  6. Step 6: Final answer
    x = 26,416.83

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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.