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Finding the Fourth Proportional to 31,065.40, 42,847.12 and 19,725.06

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Solution

The fourth proportional to 31,065.40, 42,847.12 and 19,725.06 is: 27,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.40 : 42,847.12 = 19,725.06 : x
  2. Step 2: Convert to fraction form
    31,065.40/42,847.12 = 19,725.06/x
  3. Step 3: Cross multiply
    31,065.40x = 42,847.12 × 19,725.06
  4. Step 4: Simplify right side
    31,065.40x = 845,162,012.83
  5. Step 5: Solve for x
    x = 845,162,012.83/31,065.40
  6. Step 6: Final answer
    x = 27,205.90

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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.