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Finding the Fourth Proportional to 75,145.34, 112,735.29 and 22,555.82

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Solution

The fourth proportional to 75,145.34, 112,735.29 and 22,555.82 is: 33,838.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,145.34 : 112,735.29 = 22,555.82 : x
  2. Step 2: Convert to fraction form
    75,145.34/112,735.29 = 22,555.82/x
  3. Step 3: Cross multiply
    75,145.34x = 112,735.29 × 22,555.82
  4. Step 4: Simplify right side
    75,145.34x = 2,542,836,908.89
  5. Step 5: Solve for x
    x = 2,542,836,908.89/75,145.34
  6. Step 6: Final answer
    x = 33,838.92

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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.