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Finding the Fourth Proportional to 61,901.97, 92,818.10 and 19,772.15

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Solution

The fourth proportional to 61,901.97, 92,818.10 and 19,772.15 is: 29,647.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,901.97 : 92,818.10 = 19,772.15 : x
  2. Step 2: Convert to fraction form
    61,901.97/92,818.10 = 19,772.15/x
  3. Step 3: Cross multiply
    61,901.97x = 92,818.10 × 19,772.15
  4. Step 4: Simplify right side
    61,901.97x = 1,835,213,297.05
  5. Step 5: Solve for x
    x = 1,835,213,297.05/61,901.97
  6. Step 6: Final answer
    x = 29,647.09

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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.