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Finding the Fourth Proportional to 39,758.40, 59,654.16 and 20,042.64

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Solution

The fourth proportional to 39,758.40, 59,654.16 and 20,042.64 is: 30,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,758.40 : 59,654.16 = 20,042.64 : x
  2. Step 2: Convert to fraction form
    39,758.40/59,654.16 = 20,042.64/x
  3. Step 3: Cross multiply
    39,758.40x = 59,654.16 × 20,042.64
  4. Step 4: Simplify right side
    39,758.40x = 1,195,626,853.38
  5. Step 5: Solve for x
    x = 1,195,626,853.38/39,758.40
  6. Step 6: Final answer
    x = 30,072.31

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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.