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Finding the Fourth Proportional to 34,614.88, 47,772.44 and 19,508

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Solution

The fourth proportional to 34,614.88, 47,772.44 and 19,508 is: 26,923.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614.88 : 47,772.44 = 19,508 : x
  2. Step 2: Convert to fraction form
    34,614.88/47,772.44 = 19,508/x
  3. Step 3: Cross multiply
    34,614.88x = 47,772.44 × 19,508
  4. Step 4: Simplify right side
    34,614.88x = 931,944,759.52
  5. Step 5: Solve for x
    x = 931,944,759.52/34,614.88
  6. Step 6: Final answer
    x = 26,923.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.