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Finding the Fourth Proportional to 61,894.53, 92,845.74 and 17,524.78

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Solution

The fourth proportional to 61,894.53, 92,845.74 and 17,524.78 is: 26,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,894.53 : 92,845.74 = 17,524.78 : x
  2. Step 2: Convert to fraction form
    61,894.53/92,845.74 = 17,524.78/x
  3. Step 3: Cross multiply
    61,894.53x = 92,845.74 × 17,524.78
  4. Step 4: Simplify right side
    61,894.53x = 1,627,101,262.17
  5. Step 5: Solve for x
    x = 1,627,101,262.17/61,894.53
  6. Step 6: Final answer
    x = 26,288.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.