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Finding the Fourth Proportional to 109,698.70, 164,530.45 and 39,541.90

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Solution

The fourth proportional to 109,698.70, 164,530.45 and 39,541.90 is: 59,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,698.70 : 164,530.45 = 39,541.90 : x
  2. Step 2: Convert to fraction form
    109,698.70/164,530.45 = 39,541.90/x
  3. Step 3: Cross multiply
    109,698.70x = 164,530.45 × 39,541.90
  4. Step 4: Simplify right side
    109,698.70x = 6,505,846,600.86
  5. Step 5: Solve for x
    x = 6,505,846,600.86/109,698.70
  6. Step 6: Final answer
    x = 59,306.51

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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.