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Finding the Fourth Proportional to 33,152, 49,747.52 and 14,684.16

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Solution

The fourth proportional to 33,152, 49,747.52 and 14,684.16 is: 22,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,152 : 49,747.52 = 14,684.16 : x
  2. Step 2: Convert to fraction form
    33,152/49,747.52 = 14,684.16/x
  3. Step 3: Cross multiply
    33,152x = 49,747.52 × 14,684.16
  4. Step 4: Simplify right side
    33,152x = 730,500,543.28
  5. Step 5: Solve for x
    x = 730,500,543.28/33,152
  6. Step 6: Final answer
    x = 22,034.89

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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.