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Finding the Fourth Proportional to 31,646.76, 43,681.62 and 20,899.48

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Solution

The fourth proportional to 31,646.76, 43,681.62 and 20,899.48 is: 28,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,646.76 : 43,681.62 = 20,899.48 : x
  2. Step 2: Convert to fraction form
    31,646.76/43,681.62 = 20,899.48/x
  3. Step 3: Cross multiply
    31,646.76x = 43,681.62 × 20,899.48
  4. Step 4: Simplify right side
    31,646.76x = 912,923,143.56
  5. Step 5: Solve for x
    x = 912,923,143.56/31,646.76
  6. Step 6: Final answer
    x = 28,847.29

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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.