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Finding the Fourth Proportional to 61,853.83, 92,782.46 and 21,867.17

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Solution

The fourth proportional to 61,853.83, 92,782.46 and 21,867.17 is: 32,801.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,853.83 : 92,782.46 = 21,867.17 : x
  2. Step 2: Convert to fraction form
    61,853.83/92,782.46 = 21,867.17/x
  3. Step 3: Cross multiply
    61,853.83x = 92,782.46 × 21,867.17
  4. Step 4: Simplify right side
    61,853.83x = 2,028,889,416.59
  5. Step 5: Solve for x
    x = 2,028,889,416.59/61,853.83
  6. Step 6: Final answer
    x = 32,801.36

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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.