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Finding the Fourth Proportional to 109,706.91, 164,619.90 and 46,562.55

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Solution

The fourth proportional to 109,706.91, 164,619.90 and 46,562.55 is: 69,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706.91 : 164,619.90 = 46,562.55 : x
  2. Step 2: Convert to fraction form
    109,706.91/164,619.90 = 46,562.55/x
  3. Step 3: Cross multiply
    109,706.91x = 164,619.90 × 46,562.55
  4. Step 4: Simplify right side
    109,706.91x = 7,665,122,324.75
  5. Step 5: Solve for x
    x = 7,665,122,324.75/109,706.91
  6. Step 6: Final answer
    x = 69,869.09

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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.