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Finding the Fourth Proportional to 73,199, 101,014.74 and 39,665

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Solution

The fourth proportional to 73,199, 101,014.74 and 39,665 is: 54,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,199 : 101,014.74 = 39,665 : x
  2. Step 2: Convert to fraction form
    73,199/101,014.74 = 39,665/x
  3. Step 3: Cross multiply
    73,199x = 101,014.74 × 39,665
  4. Step 4: Simplify right side
    73,199x = 4,006,749,662.10
  5. Step 5: Solve for x
    x = 4,006,749,662.10/73,199
  6. Step 6: Final answer
    x = 54,737.77

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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.