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Finding the Fourth Proportional to 34,478, 51,727.07 and 12,293.17

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Solution

The fourth proportional to 34,478, 51,727.07 and 12,293.17 is: 18,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,478 : 51,727.07 = 12,293.17 : x
  2. Step 2: Convert to fraction form
    34,478/51,727.07 = 12,293.17/x
  3. Step 3: Cross multiply
    34,478x = 51,727.07 × 12,293.17
  4. Step 4: Simplify right side
    34,478x = 635,889,665.11
  5. Step 5: Solve for x
    x = 635,889,665.11/34,478
  6. Step 6: Final answer
    x = 18,443.35

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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.