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Finding the Fourth Proportional to 73,261, 101,100.18 and 39,727

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Solution

The fourth proportional to 73,261, 101,100.18 and 39,727 is: 54,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,261 : 101,100.18 = 39,727 : x
  2. Step 2: Convert to fraction form
    73,261/101,100.18 = 39,727/x
  3. Step 3: Cross multiply
    73,261x = 101,100.18 × 39,727
  4. Step 4: Simplify right side
    73,261x = 4,016,406,850.86
  5. Step 5: Solve for x
    x = 4,016,406,850.86/73,261
  6. Step 6: Final answer
    x = 54,823.26

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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.