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Finding the Fourth Proportional to 34,751.88, 47,962.72 and 22,006.23

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Solution

The fourth proportional to 34,751.88, 47,962.72 and 22,006.23 is: 30,371.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,751.88 : 47,962.72 = 22,006.23 : x
  2. Step 2: Convert to fraction form
    34,751.88/47,962.72 = 22,006.23/x
  3. Step 3: Cross multiply
    34,751.88x = 47,962.72 × 22,006.23
  4. Step 4: Simplify right side
    34,751.88x = 1,055,478,531.89
  5. Step 5: Solve for x
    x = 1,055,478,531.89/34,751.88
  6. Step 6: Final answer
    x = 30,371.84

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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.