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Finding the Fourth Proportional to 34,616.60, 51,905.70 and 13,816.60

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Solution

The fourth proportional to 34,616.60, 51,905.70 and 13,816.60 is: 20,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.60 : 51,905.70 = 13,816.60 : x
  2. Step 2: Convert to fraction form
    34,616.60/51,905.70 = 13,816.60/x
  3. Step 3: Cross multiply
    34,616.60x = 51,905.70 × 13,816.60
  4. Step 4: Simplify right side
    34,616.60x = 717,160,294.62
  5. Step 5: Solve for x
    x = 717,160,294.62/34,616.60
  6. Step 6: Final answer
    x = 20,717.24

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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.