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Finding the Fourth Proportional to 34,659.90, 51,984.42 and 11,286.18

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Solution

The fourth proportional to 34,659.90, 51,984.42 and 11,286.18 is: 16,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,659.90 : 51,984.42 = 11,286.18 : x
  2. Step 2: Convert to fraction form
    34,659.90/51,984.42 = 11,286.18/x
  3. Step 3: Cross multiply
    34,659.90x = 51,984.42 × 11,286.18
  4. Step 4: Simplify right side
    34,659.90x = 586,705,521.32
  5. Step 5: Solve for x
    x = 586,705,521.32/34,659.90
  6. Step 6: Final answer
    x = 16,927.50

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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.