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Finding the Fourth Proportional to 78,192.91, 117,289.82 and 22,033.49

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Solution

The fourth proportional to 78,192.91, 117,289.82 and 22,033.49 is: 33,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192.91 : 117,289.82 = 22,033.49 : x
  2. Step 2: Convert to fraction form
    78,192.91/117,289.82 = 22,033.49/x
  3. Step 3: Cross multiply
    78,192.91x = 117,289.82 × 22,033.49
  4. Step 4: Simplify right side
    78,192.91x = 2,584,303,544.71
  5. Step 5: Solve for x
    x = 2,584,303,544.71/78,192.91
  6. Step 6: Final answer
    x = 33,050.36

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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.