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Finding the Fourth Proportional to 32,843.76, 49,272.93 and 9,468.38

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Solution

The fourth proportional to 32,843.76, 49,272.93 and 9,468.38 is: 14,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.76 : 49,272.93 = 9,468.38 : x
  2. Step 2: Convert to fraction form
    32,843.76/49,272.93 = 9,468.38/x
  3. Step 3: Cross multiply
    32,843.76x = 49,272.93 × 9,468.38
  4. Step 4: Simplify right side
    32,843.76x = 466,534,578.59
  5. Step 5: Solve for x
    x = 466,534,578.59/32,843.76
  6. Step 6: Final answer
    x = 14,204.66

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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.