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Finding the Fourth Proportional to 83,322.88, 124,983.76 and 33,402.28

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Solution

The fourth proportional to 83,322.88, 124,983.76 and 33,402.28 is: 50,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322.88 : 124,983.76 = 33,402.28 : x
  2. Step 2: Convert to fraction form
    83,322.88/124,983.76 = 33,402.28/x
  3. Step 3: Cross multiply
    83,322.88x = 124,983.76 × 33,402.28
  4. Step 4: Simplify right side
    83,322.88x = 4,174,742,546.97
  5. Step 5: Solve for x
    x = 4,174,742,546.97/83,322.88
  6. Step 6: Final answer
    x = 50,103.20

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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.