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Finding the Fourth Proportional to 138,521.36, 207,782.08 and 33,340.33

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Solution

The fourth proportional to 138,521.36, 207,782.08 and 33,340.33 is: 50,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,521.36 : 207,782.08 = 33,340.33 : x
  2. Step 2: Convert to fraction form
    138,521.36/207,782.08 = 33,340.33/x
  3. Step 3: Cross multiply
    138,521.36x = 207,782.08 × 33,340.33
  4. Step 4: Simplify right side
    138,521.36x = 6,927,523,115.29
  5. Step 5: Solve for x
    x = 6,927,523,115.29/138,521.36
  6. Step 6: Final answer
    x = 50,010.50

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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.