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Finding the Fourth Proportional to 86,851.50, 130,215.69 and 33,498.24

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Solution

The fourth proportional to 86,851.50, 130,215.69 and 33,498.24 is: 50,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,851.50 : 130,215.69 = 33,498.24 : x
  2. Step 2: Convert to fraction form
    86,851.50/130,215.69 = 33,498.24/x
  3. Step 3: Cross multiply
    86,851.50x = 130,215.69 × 33,498.24
  4. Step 4: Simplify right side
    86,851.50x = 4,361,996,435.39
  5. Step 5: Solve for x
    x = 4,361,996,435.39/86,851.50
  6. Step 6: Final answer
    x = 50,223.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.