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Finding the Fourth Proportional to 71,016.30, 106,524.45 and 53,301.60

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Solution

The fourth proportional to 71,016.30, 106,524.45 and 53,301.60 is: 79,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,016.30 : 106,524.45 = 53,301.60 : x
  2. Step 2: Convert to fraction form
    71,016.30/106,524.45 = 53,301.60/x
  3. Step 3: Cross multiply
    71,016.30x = 106,524.45 × 53,301.60
  4. Step 4: Simplify right side
    71,016.30x = 5,677,923,624.12
  5. Step 5: Solve for x
    x = 5,677,923,624.12/71,016.30
  6. Step 6: Final answer
    x = 79,952.40

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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.