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Finding the Fourth Proportional to 33,083.10, 49,624.56 and 8,459.10

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Solution

The fourth proportional to 33,083.10, 49,624.56 and 8,459.10 is: 12,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.10 : 49,624.56 = 8,459.10 : x
  2. Step 2: Convert to fraction form
    33,083.10/49,624.56 = 8,459.10/x
  3. Step 3: Cross multiply
    33,083.10x = 49,624.56 × 8,459.10
  4. Step 4: Simplify right side
    33,083.10x = 419,779,115.50
  5. Step 5: Solve for x
    x = 419,779,115.50/33,083.10
  6. Step 6: Final answer
    x = 12,688.63

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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.