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Finding the Fourth Proportional to 68,412.92, 102,593.23 and 32,864.11

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Solution

The fourth proportional to 68,412.92, 102,593.23 and 32,864.11 is: 49,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,412.92 : 102,593.23 = 32,864.11 : x
  2. Step 2: Convert to fraction form
    68,412.92/102,593.23 = 32,864.11/x
  3. Step 3: Cross multiply
    68,412.92x = 102,593.23 × 32,864.11
  4. Step 4: Simplify right side
    68,412.92x = 3,371,634,518.69
  5. Step 5: Solve for x
    x = 3,371,634,518.69/68,412.92
  6. Step 6: Final answer
    x = 49,283.60

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Why These Related Problems?

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