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Finding the Fourth Proportional to 138,593.51, 207,888.44 and 33,411.63

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Solution

The fourth proportional to 138,593.51, 207,888.44 and 33,411.63 is: 50,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,593.51 : 207,888.44 = 33,411.63 : x
  2. Step 2: Convert to fraction form
    138,593.51/207,888.44 = 33,411.63/x
  3. Step 3: Cross multiply
    138,593.51x = 207,888.44 × 33,411.63
  4. Step 4: Simplify right side
    138,593.51x = 6,945,891,471.50
  5. Step 5: Solve for x
    x = 6,945,891,471.50/138,593.51
  6. Step 6: Final answer
    x = 50,117.01

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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.