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Finding the Fourth Proportional to 34,457.67, 51,685.29 and 11,083.50

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Solution

The fourth proportional to 34,457.67, 51,685.29 and 11,083.50 is: 16,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,457.67 : 51,685.29 = 11,083.50 : x
  2. Step 2: Convert to fraction form
    34,457.67/51,685.29 = 11,083.50/x
  3. Step 3: Cross multiply
    34,457.67x = 51,685.29 × 11,083.50
  4. Step 4: Simplify right side
    34,457.67x = 572,853,911.72
  5. Step 5: Solve for x
    x = 572,853,911.72/34,457.67
  6. Step 6: Final answer
    x = 16,624.86

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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.