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Finding the Fourth Proportional to 34,810.85, 52,219.02 and 9,850.50

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Solution

The fourth proportional to 34,810.85, 52,219.02 and 9,850.50 is: 14,776.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,810.85 : 52,219.02 = 9,850.50 : x
  2. Step 2: Convert to fraction form
    34,810.85/52,219.02 = 9,850.50/x
  3. Step 3: Cross multiply
    34,810.85x = 52,219.02 × 9,850.50
  4. Step 4: Simplify right side
    34,810.85x = 514,383,456.51
  5. Step 5: Solve for x
    x = 514,383,456.51/34,810.85
  6. Step 6: Final answer
    x = 14,776.53

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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.