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Finding the Fourth Proportional to 34,384.50, 51,577.21 and 11,010.94

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Solution

The fourth proportional to 34,384.50, 51,577.21 and 11,010.94 is: 16,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,384.50 : 51,577.21 = 11,010.94 : x
  2. Step 2: Convert to fraction form
    34,384.50/51,577.21 = 11,010.94/x
  3. Step 3: Cross multiply
    34,384.50x = 51,577.21 × 11,010.94
  4. Step 4: Simplify right side
    34,384.50x = 567,913,564.68
  5. Step 5: Solve for x
    x = 567,913,564.68/34,384.50
  6. Step 6: Final answer
    x = 16,516.56

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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.