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Finding the Fourth Proportional to 23,058.98, 31,613.96 and 22,638.66

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Solution

The fourth proportional to 23,058.98, 31,613.96 and 22,638.66 is: 31,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058.98 : 31,613.96 = 22,638.66 : x
  2. Step 2: Convert to fraction form
    23,058.98/31,613.96 = 22,638.66/x
  3. Step 3: Cross multiply
    23,058.98x = 31,613.96 × 22,638.66
  4. Step 4: Simplify right side
    23,058.98x = 715,697,578.50
  5. Step 5: Solve for x
    x = 715,697,578.50/23,058.98
  6. Step 6: Final answer
    x = 31,037.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.