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Finding the Fourth Proportional to 68,000.30, 101,914.05 and 32,864.30

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Solution

The fourth proportional to 68,000.30, 101,914.05 and 32,864.30 is: 49,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,000.30 : 101,914.05 = 32,864.30 : x
  2. Step 2: Convert to fraction form
    68,000.30/101,914.05 = 32,864.30/x
  3. Step 3: Cross multiply
    68,000.30x = 101,914.05 × 32,864.30
  4. Step 4: Simplify right side
    68,000.30x = 3,349,333,913.42
  5. Step 5: Solve for x
    x = 3,349,333,913.42/68,000.30
  6. Step 6: Final answer
    x = 49,254.69

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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.