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Finding the Fourth Proportional to 47,469.94, 71,239.95 and 22,510.07

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Solution

The fourth proportional to 47,469.94, 71,239.95 and 22,510.07 is: 33,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,469.94 : 71,239.95 = 22,510.07 : x
  2. Step 2: Convert to fraction form
    47,469.94/71,239.95 = 22,510.07/x
  3. Step 3: Cross multiply
    47,469.94x = 71,239.95 × 22,510.07
  4. Step 4: Simplify right side
    47,469.94x = 1,603,615,952.52
  5. Step 5: Solve for x
    x = 1,603,615,952.52/47,469.94
  6. Step 6: Final answer
    x = 33,781.72

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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.