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Finding the Fourth Proportional to 31,568.32, 47,320.44 and 20,482.06

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Solution

The fourth proportional to 31,568.32, 47,320.44 and 20,482.06 is: 30,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,568.32 : 47,320.44 = 20,482.06 : x
  2. Step 2: Convert to fraction form
    31,568.32/47,320.44 = 20,482.06/x
  3. Step 3: Cross multiply
    31,568.32x = 47,320.44 × 20,482.06
  4. Step 4: Simplify right side
    31,568.32x = 969,220,091.31
  5. Step 5: Solve for x
    x = 969,220,091.31/31,568.32
  6. Step 6: Final answer
    x = 30,702.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.