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Finding the Fourth Proportional to 34,106.61, 47,074.38 and 22,922.13

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Solution

The fourth proportional to 34,106.61, 47,074.38 and 22,922.13 is: 31,637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,106.61 : 47,074.38 = 22,922.13 : x
  2. Step 2: Convert to fraction form
    34,106.61/47,074.38 = 22,922.13/x
  3. Step 3: Cross multiply
    34,106.61x = 47,074.38 × 22,922.13
  4. Step 4: Simplify right side
    34,106.61x = 1,079,045,058.03
  5. Step 5: Solve for x
    x = 1,079,045,058.03/34,106.61
  6. Step 6: Final answer
    x = 31,637.42

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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.