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Finding the Fourth Proportional to 109,744.66, 164,599.81 and 34,854.94

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Solution

The fourth proportional to 109,744.66, 164,599.81 and 34,854.94 is: 52,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,744.66 : 164,599.81 = 34,854.94 : x
  2. Step 2: Convert to fraction form
    109,744.66/164,599.81 = 34,854.94/x
  3. Step 3: Cross multiply
    109,744.66x = 164,599.81 × 34,854.94
  4. Step 4: Simplify right side
    109,744.66x = 5,737,116,816.23
  5. Step 5: Solve for x
    x = 5,737,116,816.23/109,744.66
  6. Step 6: Final answer
    x = 52,276.96

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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.