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Finding the Fourth Proportional to 31,652.40, 47,439.72 and 17,772.24

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Solution

The fourth proportional to 31,652.40, 47,439.72 and 17,772.24 is: 26,636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.40 : 47,439.72 = 17,772.24 : x
  2. Step 2: Convert to fraction form
    31,652.40/47,439.72 = 17,772.24/x
  3. Step 3: Cross multiply
    31,652.40x = 47,439.72 × 17,772.24
  4. Step 4: Simplify right side
    31,652.40x = 843,110,089.37
  5. Step 5: Solve for x
    x = 843,110,089.37/31,652.40
  6. Step 6: Final answer
    x = 26,636.53

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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.