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Finding the Fourth Proportional to 68,148.17, 102,266.00 and 33,068.69

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Solution

The fourth proportional to 68,148.17, 102,266.00 and 33,068.69 is: 49,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148.17 : 102,266.00 = 33,068.69 : x
  2. Step 2: Convert to fraction form
    68,148.17/102,266.00 = 33,068.69/x
  3. Step 3: Cross multiply
    68,148.17x = 102,266.00 × 33,068.69
  4. Step 4: Simplify right side
    68,148.17x = 3,381,802,486.20
  5. Step 5: Solve for x
    x = 3,381,802,486.20/68,148.17
  6. Step 6: Final answer
    x = 49,624.26

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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.