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Finding the Fourth Proportional to 68,564.80, 102,855.20 and 21,822.40

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Solution

The fourth proportional to 68,564.80, 102,855.20 and 21,822.40 is: 32,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,564.80 : 102,855.20 = 21,822.40 : x
  2. Step 2: Convert to fraction form
    68,564.80/102,855.20 = 21,822.40/x
  3. Step 3: Cross multiply
    68,564.80x = 102,855.20 × 21,822.40
  4. Step 4: Simplify right side
    68,564.80x = 2,244,547,316.48
  5. Step 5: Solve for x
    x = 2,244,547,316.48/68,564.80
  6. Step 6: Final answer
    x = 32,736.15

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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.