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Finding the Fourth Proportional to 68,582.74, 102,882.39 and 24,200.38

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Solution

The fourth proportional to 68,582.74, 102,882.39 and 24,200.38 is: 36,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,582.74 : 102,882.39 = 24,200.38 : x
  2. Step 2: Convert to fraction form
    68,582.74/102,882.39 = 24,200.38/x
  3. Step 3: Cross multiply
    68,582.74x = 102,882.39 × 24,200.38
  4. Step 4: Simplify right side
    68,582.74x = 2,489,792,933.31
  5. Step 5: Solve for x
    x = 2,489,792,933.31/68,582.74
  6. Step 6: Final answer
    x = 36,303.49

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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.