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Finding the Fourth Proportional to 68,284.13, 102,426.12 and 21,537

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Solution

The fourth proportional to 68,284.13, 102,426.12 and 21,537 is: 32,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,284.13 : 102,426.12 = 21,537 : x
  2. Step 2: Convert to fraction form
    68,284.13/102,426.12 = 21,537/x
  3. Step 3: Cross multiply
    68,284.13x = 102,426.12 × 21,537
  4. Step 4: Simplify right side
    68,284.13x = 2,205,951,346.44
  5. Step 5: Solve for x
    x = 2,205,951,346.44/68,284.13
  6. Step 6: Final answer
    x = 32,305.48

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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.