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Finding the Fourth Proportional to 32,897.97, 49,346.50 and 7,937.81

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Solution

The fourth proportional to 32,897.97, 49,346.50 and 7,937.81 is: 11,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897.97 : 49,346.50 = 7,937.81 : x
  2. Step 2: Convert to fraction form
    32,897.97/49,346.50 = 7,937.81/x
  3. Step 3: Cross multiply
    32,897.97x = 49,346.50 × 7,937.81
  4. Step 4: Simplify right side
    32,897.97x = 391,703,141.17
  5. Step 5: Solve for x
    x = 391,703,141.17/32,897.97
  6. Step 6: Final answer
    x = 11,906.61

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