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Finding the Fourth Proportional to 61,633, 92,464.86 and 17,857

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Solution

The fourth proportional to 61,633, 92,464.86 and 17,857 is: 26,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,633 : 92,464.86 = 17,857 : x
  2. Step 2: Convert to fraction form
    61,633/92,464.86 = 17,857/x
  3. Step 3: Cross multiply
    61,633x = 92,464.86 × 17,857
  4. Step 4: Simplify right side
    61,633x = 1,651,145,005.02
  5. Step 5: Solve for x
    x = 1,651,145,005.02/61,633
  6. Step 6: Final answer
    x = 26,789.95

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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.