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Finding the Fourth Proportional to 31,542.44, 47,322.78 and 9,356.34

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Solution

The fourth proportional to 31,542.44, 47,322.78 and 9,356.34 is: 14,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,542.44 : 47,322.78 = 9,356.34 : x
  2. Step 2: Convert to fraction form
    31,542.44/47,322.78 = 9,356.34/x
  3. Step 3: Cross multiply
    31,542.44x = 47,322.78 × 9,356.34
  4. Step 4: Simplify right side
    31,542.44x = 442,768,019.43
  5. Step 5: Solve for x
    x = 442,768,019.43/31,542.44
  6. Step 6: Final answer
    x = 14,037.22

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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.