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Finding the Fourth Proportional to 86,781, 119,757.78 and 47,037

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Solution

The fourth proportional to 86,781, 119,757.78 and 47,037 is: 64,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,781 : 119,757.78 = 47,037 : x
  2. Step 2: Convert to fraction form
    86,781/119,757.78 = 47,037/x
  3. Step 3: Cross multiply
    86,781x = 119,757.78 × 47,037
  4. Step 4: Simplify right side
    86,781x = 5,633,046,697.86
  5. Step 5: Solve for x
    x = 5,633,046,697.86/86,781
  6. Step 6: Final answer
    x = 64,911.06

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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.