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Finding the Fourth Proportional to 34,095.91, 51,170.87 and 14,388.07

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Solution

The fourth proportional to 34,095.91, 51,170.87 and 14,388.07 is: 21,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,095.91 : 51,170.87 = 14,388.07 : x
  2. Step 2: Convert to fraction form
    34,095.91/51,170.87 = 14,388.07/x
  3. Step 3: Cross multiply
    34,095.91x = 51,170.87 × 14,388.07
  4. Step 4: Simplify right side
    34,095.91x = 736,250,059.52
  5. Step 5: Solve for x
    x = 736,250,059.52/34,095.91
  6. Step 6: Final answer
    x = 21,593.50

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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.