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Finding the Fourth Proportional to 86,063.83, 118,767.85 and 47,823.22

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Solution

The fourth proportional to 86,063.83, 118,767.85 and 47,823.22 is: 65,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,063.83 : 118,767.85 = 47,823.22 : x
  2. Step 2: Convert to fraction form
    86,063.83/118,767.85 = 47,823.22/x
  3. Step 3: Cross multiply
    86,063.83x = 118,767.85 × 47,823.22
  4. Step 4: Simplify right side
    86,063.83x = 5,679,861,048.38
  5. Step 5: Solve for x
    x = 5,679,861,048.38/86,063.83
  6. Step 6: Final answer
    x = 65,995.92

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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.