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Finding the Fourth Proportional to 73,257, 101,094.66 and 39,723

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Solution

The fourth proportional to 73,257, 101,094.66 and 39,723 is: 54,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,257 : 101,094.66 = 39,723 : x
  2. Step 2: Convert to fraction form
    73,257/101,094.66 = 39,723/x
  3. Step 3: Cross multiply
    73,257x = 101,094.66 × 39,723
  4. Step 4: Simplify right side
    73,257x = 4,015,783,179.18
  5. Step 5: Solve for x
    x = 4,015,783,179.18/73,257
  6. Step 6: Final answer
    x = 54,817.74

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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.