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Finding the Fourth Proportional to 73,311.75, 109,967.63 and 26,564.63

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Solution

The fourth proportional to 73,311.75, 109,967.63 and 26,564.63 is: 39,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,311.75 : 109,967.63 = 26,564.63 : x
  2. Step 2: Convert to fraction form
    73,311.75/109,967.63 = 26,564.63/x
  3. Step 3: Cross multiply
    73,311.75x = 109,967.63 × 26,564.63
  4. Step 4: Simplify right side
    73,311.75x = 2,921,248,720.27
  5. Step 5: Solve for x
    x = 2,921,248,720.27/73,311.75
  6. Step 6: Final answer
    x = 39,846.94

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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.