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Finding the Fourth Proportional to 33,084, 49,625.04 and 10,888.32

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Solution

The fourth proportional to 33,084, 49,625.04 and 10,888.32 is: 16,332.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,084 : 49,625.04 = 10,888.32 : x
  2. Step 2: Convert to fraction form
    33,084/49,625.04 = 10,888.32/x
  3. Step 3: Cross multiply
    33,084x = 49,625.04 × 10,888.32
  4. Step 4: Simplify right side
    33,084x = 540,333,315.53
  5. Step 5: Solve for x
    x = 540,333,315.53/33,084
  6. Step 6: Final answer
    x = 16,332.16

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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.