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Finding the Fourth Proportional to 34,033.72, 51,053.02 and 9,073.64

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Solution

The fourth proportional to 34,033.72, 51,053.02 and 9,073.64 is: 13,611.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,033.72 : 51,053.02 = 9,073.64 : x
  2. Step 2: Convert to fraction form
    34,033.72/51,053.02 = 9,073.64/x
  3. Step 3: Cross multiply
    34,033.72x = 51,053.02 × 9,073.64
  4. Step 4: Simplify right side
    34,033.72x = 463,236,724.39
  5. Step 5: Solve for x
    x = 463,236,724.39/34,033.72
  6. Step 6: Final answer
    x = 13,611.11

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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.