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Finding the Fourth Proportional to 67,824, 101,632.72 and 34,494.12

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Solution

The fourth proportional to 67,824, 101,632.72 and 34,494.12 is: 51,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 101,632.72 = 34,494.12 : x
  2. Step 2: Convert to fraction form
    67,824/101,632.72 = 34,494.12/x
  3. Step 3: Cross multiply
    67,824x = 101,632.72 × 34,494.12
  4. Step 4: Simplify right side
    67,824x = 3,505,731,239.61
  5. Step 5: Solve for x
    x = 3,505,731,239.61/67,824
  6. Step 6: Final answer
    x = 51,688.65

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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.