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Finding the Fourth Proportional to 86,471.48, 119,296.20 and 52,467.48

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Solution

The fourth proportional to 86,471.48, 119,296.20 and 52,467.48 is: 72,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,471.48 : 119,296.20 = 52,467.48 : x
  2. Step 2: Convert to fraction form
    86,471.48/119,296.20 = 52,467.48/x
  3. Step 3: Cross multiply
    86,471.48x = 119,296.20 × 52,467.48
  4. Step 4: Simplify right side
    86,471.48x = 6,259,170,987.58
  5. Step 5: Solve for x
    x = 6,259,170,987.58/86,471.48
  6. Step 6: Final answer
    x = 72,384.23

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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.