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Finding the Fourth Proportional to 64,976.86, 89,667.36 and 36,683.74

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Solution

The fourth proportional to 64,976.86, 89,667.36 and 36,683.74 is: 50,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,976.86 : 89,667.36 = 36,683.74 : x
  2. Step 2: Convert to fraction form
    64,976.86/89,667.36 = 36,683.74/x
  3. Step 3: Cross multiply
    64,976.86x = 89,667.36 × 36,683.74
  4. Step 4: Simplify right side
    64,976.86x = 3,289,334,120.73
  5. Step 5: Solve for x
    x = 3,289,334,120.73/64,976.86
  6. Step 6: Final answer
    x = 50,623.16

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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.