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Finding the Fourth Proportional to 70,816.61, 106,188.30 and 20,890.34

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Solution

The fourth proportional to 70,816.61, 106,188.30 and 20,890.34 is: 31,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,816.61 : 106,188.30 = 20,890.34 : x
  2. Step 2: Convert to fraction form
    70,816.61/106,188.30 = 20,890.34/x
  3. Step 3: Cross multiply
    70,816.61x = 106,188.30 × 20,890.34
  4. Step 4: Simplify right side
    70,816.61x = 2,218,309,160.08
  5. Step 5: Solve for x
    x = 2,218,309,160.08/70,816.61
  6. Step 6: Final answer
    x = 31,324.70

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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.