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Finding the Fourth Proportional to 73,098, 100,894.14 and 47,667.78

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Solution

The fourth proportional to 73,098, 100,894.14 and 47,667.78 is: 65,793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,098 : 100,894.14 = 47,667.78 : x
  2. Step 2: Convert to fraction form
    73,098/100,894.14 = 47,667.78/x
  3. Step 3: Cross multiply
    73,098x = 100,894.14 × 47,667.78
  4. Step 4: Simplify right side
    73,098x = 4,809,399,668.81
  5. Step 5: Solve for x
    x = 4,809,399,668.81/73,098
  6. Step 6: Final answer
    x = 65,793.86

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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.