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Finding the Fourth Proportional to 75,096.88, 112,684.14 and 33,006.51

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Solution

The fourth proportional to 75,096.88, 112,684.14 and 33,006.51 is: 49,526.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,096.88 : 112,684.14 = 33,006.51 : x
  2. Step 2: Convert to fraction form
    75,096.88/112,684.14 = 33,006.51/x
  3. Step 3: Cross multiply
    75,096.88x = 112,684.14 × 33,006.51
  4. Step 4: Simplify right side
    75,096.88x = 3,719,310,193.75
  5. Step 5: Solve for x
    x = 3,719,310,193.75/75,096.88
  6. Step 6: Final answer
    x = 49,526.83

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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.