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Finding the Fourth Proportional to 31,643.80, 47,379.23 and 22,768

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Solution

The fourth proportional to 31,643.80, 47,379.23 and 22,768 is: 34,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,643.80 : 47,379.23 = 22,768 : x
  2. Step 2: Convert to fraction form
    31,643.80/47,379.23 = 22,768/x
  3. Step 3: Cross multiply
    31,643.80x = 47,379.23 × 22,768
  4. Step 4: Simplify right side
    31,643.80x = 1,078,730,308.64
  5. Step 5: Solve for x
    x = 1,078,730,308.64/31,643.80
  6. Step 6: Final answer
    x = 34,089.78

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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.