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Finding the Fourth Proportional to 35,033.32, 48,333.54 and 20,120.68

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Solution

The fourth proportional to 35,033.32, 48,333.54 and 20,120.68 is: 27,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,033.32 : 48,333.54 = 20,120.68 : x
  2. Step 2: Convert to fraction form
    35,033.32/48,333.54 = 20,120.68/x
  3. Step 3: Cross multiply
    35,033.32x = 48,333.54 × 20,120.68
  4. Step 4: Simplify right side
    35,033.32x = 972,503,691.61
  5. Step 5: Solve for x
    x = 972,503,691.61/35,033.32
  6. Step 6: Final answer
    x = 27,759.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.