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Finding the Fourth Proportional to 86,801, 119,785.38 and 47,057

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Solution

The fourth proportional to 86,801, 119,785.38 and 47,057 is: 64,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,801 : 119,785.38 = 47,057 : x
  2. Step 2: Convert to fraction form
    86,801/119,785.38 = 47,057/x
  3. Step 3: Cross multiply
    86,801x = 119,785.38 × 47,057
  4. Step 4: Simplify right side
    86,801x = 5,636,740,626.66
  5. Step 5: Solve for x
    x = 5,636,740,626.66/86,801
  6. Step 6: Final answer
    x = 64,938.66

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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.