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Finding the Fourth Proportional to 67,382.20, 93,005.94 and 39,097

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Solution

The fourth proportional to 67,382.20, 93,005.94 and 39,097 is: 53,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,382.20 : 93,005.94 = 39,097 : x
  2. Step 2: Convert to fraction form
    67,382.20/93,005.94 = 39,097/x
  3. Step 3: Cross multiply
    67,382.20x = 93,005.94 × 39,097
  4. Step 4: Simplify right side
    67,382.20x = 3,636,253,236.18
  5. Step 5: Solve for x
    x = 3,636,253,236.18/67,382.20
  6. Step 6: Final answer
    x = 53,964.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.