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Finding the Fourth Proportional to 33,209.40, 49,781.70 and 29,710.20

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Solution

The fourth proportional to 33,209.40, 49,781.70 and 29,710.20 is: 44,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,209.40 : 49,781.70 = 29,710.20 : x
  2. Step 2: Convert to fraction form
    33,209.40/49,781.70 = 29,710.20/x
  3. Step 3: Cross multiply
    33,209.40x = 49,781.70 × 29,710.20
  4. Step 4: Simplify right side
    33,209.40x = 1,479,024,263.34
  5. Step 5: Solve for x
    x = 1,479,024,263.34/33,209.40
  6. Step 6: Final answer
    x = 44,536.31

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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.