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Finding the Fourth Proportional to 61,584.96, 92,412 and 24,651.84

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Solution

The fourth proportional to 61,584.96, 92,412 and 24,651.84 is: 36,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,584.96 : 92,412 = 24,651.84 : x
  2. Step 2: Convert to fraction form
    61,584.96/92,412 = 24,651.84/x
  3. Step 3: Cross multiply
    61,584.96x = 92,412 × 24,651.84
  4. Step 4: Simplify right side
    61,584.96x = 2,278,125,838.08
  5. Step 5: Solve for x
    x = 2,278,125,838.08/61,584.96
  6. Step 6: Final answer
    x = 36,991.59

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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.