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Finding the Fourth Proportional to 109,866.84, 164,793.30 and 35,040.66

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Solution

The fourth proportional to 109,866.84, 164,793.30 and 35,040.66 is: 52,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,866.84 : 164,793.30 = 35,040.66 : x
  2. Step 2: Convert to fraction form
    109,866.84/164,793.30 = 35,040.66/x
  3. Step 3: Cross multiply
    109,866.84x = 164,793.30 × 35,040.66
  4. Step 4: Simplify right side
    109,866.84x = 5,774,465,995.58
  5. Step 5: Solve for x
    x = 5,774,465,995.58/109,866.84
  6. Step 6: Final answer
    x = 52,558.77

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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.