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Finding the Fourth Proportional to 33,202.60, 49,746.30 and 21,509.80

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Solution

The fourth proportional to 33,202.60, 49,746.30 and 21,509.80 is: 32,227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,202.60 : 49,746.30 = 21,509.80 : x
  2. Step 2: Convert to fraction form
    33,202.60/49,746.30 = 21,509.80/x
  3. Step 3: Cross multiply
    33,202.60x = 49,746.30 × 21,509.80
  4. Step 4: Simplify right side
    33,202.60x = 1,070,032,963.74
  5. Step 5: Solve for x
    x = 1,070,032,963.74/33,202.60
  6. Step 6: Final answer
    x = 32,227.38

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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.