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Finding the Fourth Proportional to 61,713, 92,573.82 and 24,777

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Solution

The fourth proportional to 61,713, 92,573.82 and 24,777 is: 37,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,713 : 92,573.82 = 24,777 : x
  2. Step 2: Convert to fraction form
    61,713/92,573.82 = 24,777/x
  3. Step 3: Cross multiply
    61,713x = 92,573.82 × 24,777
  4. Step 4: Simplify right side
    61,713x = 2,293,701,538.14
  5. Step 5: Solve for x
    x = 2,293,701,538.14/61,713
  6. Step 6: Final answer
    x = 37,167.23

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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.