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Finding the Fourth Proportional to 73,367, 101,247.72 and 39,833

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Solution

The fourth proportional to 73,367, 101,247.72 and 39,833 is: 54,970.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,367 : 101,247.72 = 39,833 : x
  2. Step 2: Convert to fraction form
    73,367/101,247.72 = 39,833/x
  3. Step 3: Cross multiply
    73,367x = 101,247.72 × 39,833
  4. Step 4: Simplify right side
    73,367x = 4,033,000,430.76
  5. Step 5: Solve for x
    x = 4,033,000,430.76/73,367
  6. Step 6: Final answer
    x = 54,970.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.