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Finding the Fourth Proportional to 73,680, 101,678.42 and 40,146

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Solution

The fourth proportional to 73,680, 101,678.42 and 40,146 is: 55,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,680 : 101,678.42 = 40,146 : x
  2. Step 2: Convert to fraction form
    73,680/101,678.42 = 40,146/x
  3. Step 3: Cross multiply
    73,680x = 101,678.42 × 40,146
  4. Step 4: Simplify right side
    73,680x = 4,081,981,648.59
  5. Step 5: Solve for x
    x = 4,081,981,648.59/73,680
  6. Step 6: Final answer
    x = 55,401.49

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