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Finding the Fourth Proportional to 66,892.35, 100,340.64 and 24,782.97

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Solution

The fourth proportional to 66,892.35, 100,340.64 and 24,782.97 is: 37,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892.35 : 100,340.64 = 24,782.97 : x
  2. Step 2: Convert to fraction form
    66,892.35/100,340.64 = 24,782.97/x
  3. Step 3: Cross multiply
    66,892.35x = 100,340.64 × 24,782.97
  4. Step 4: Simplify right side
    66,892.35x = 2,486,739,070.90
  5. Step 5: Solve for x
    x = 2,486,739,070.90/66,892.35
  6. Step 6: Final answer
    x = 37,175.24

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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.