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Finding the Fourth Proportional to 128,345.16, 192,503.01 and 33,584.49

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Solution

The fourth proportional to 128,345.16, 192,503.01 and 33,584.49 is: 50,372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,345.16 : 192,503.01 = 33,584.49 : x
  2. Step 2: Convert to fraction form
    128,345.16/192,503.01 = 33,584.49/x
  3. Step 3: Cross multiply
    128,345.16x = 192,503.01 × 33,584.49
  4. Step 4: Simplify right side
    128,345.16x = 6,465,115,414.31
  5. Step 5: Solve for x
    x = 6,465,115,414.31/128,345.16
  6. Step 6: Final answer
    x = 50,372.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.