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Finding the Fourth Proportional to 31,746, 43,809.48 and 17,601

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Solution

The fourth proportional to 31,746, 43,809.48 and 17,601 is: 24,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,746 : 43,809.48 = 17,601 : x
  2. Step 2: Convert to fraction form
    31,746/43,809.48 = 17,601/x
  3. Step 3: Cross multiply
    31,746x = 43,809.48 × 17,601
  4. Step 4: Simplify right side
    31,746x = 771,090,657.48
  5. Step 5: Solve for x
    x = 771,090,657.48/31,746
  6. Step 6: Final answer
    x = 24,289.38

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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.