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Finding the Fourth Proportional to 32,897, 45,397.86 and 17,993

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Solution

The fourth proportional to 32,897, 45,397.86 and 17,993 is: 24,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,897 : 45,397.86 = 17,993 : x
  2. Step 2: Convert to fraction form
    32,897/45,397.86 = 17,993/x
  3. Step 3: Cross multiply
    32,897x = 45,397.86 × 17,993
  4. Step 4: Simplify right side
    32,897x = 816,843,694.98
  5. Step 5: Solve for x
    x = 816,843,694.98/32,897
  6. Step 6: Final answer
    x = 24,830.34

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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.