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Finding the Fourth Proportional to 33,007.52, 49,513.44 and 9,632

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Solution

The fourth proportional to 33,007.52, 49,513.44 and 9,632 is: 14,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.52 : 49,513.44 = 9,632 : x
  2. Step 2: Convert to fraction form
    33,007.52/49,513.44 = 9,632/x
  3. Step 3: Cross multiply
    33,007.52x = 49,513.44 × 9,632
  4. Step 4: Simplify right side
    33,007.52x = 476,913,454.08
  5. Step 5: Solve for x
    x = 476,913,454.08/33,007.52
  6. Step 6: Final answer
    x = 14,448.63

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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.