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Finding the Fourth Proportional to 20,771.68, 31,009.54 and 20,042.64

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Solution

The fourth proportional to 20,771.68, 31,009.54 and 20,042.64 is: 29,921.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,771.68 : 31,009.54 = 20,042.64 : x
  2. Step 2: Convert to fraction form
    20,771.68/31,009.54 = 20,042.64/x
  3. Step 3: Cross multiply
    20,771.68x = 31,009.54 × 20,042.64
  4. Step 4: Simplify right side
    20,771.68x = 621,513,046.79
  5. Step 5: Solve for x
    x = 621,513,046.79/20,771.68
  6. Step 6: Final answer
    x = 29,921.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.