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Finding the Fourth Proportional to 109,854.78, 164,773.80 and 34,977.30

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Solution

The fourth proportional to 109,854.78, 164,773.80 and 34,977.30 is: 52,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,854.78 : 164,773.80 = 34,977.30 : x
  2. Step 2: Convert to fraction form
    109,854.78/164,773.80 = 34,977.30/x
  3. Step 3: Cross multiply
    109,854.78x = 164,773.80 × 34,977.30
  4. Step 4: Simplify right side
    109,854.78x = 5,763,342,634.74
  5. Step 5: Solve for x
    x = 5,763,342,634.74/109,854.78
  6. Step 6: Final answer
    x = 52,463.29

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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.