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Finding the Fourth Proportional to 75,242.94, 112,874.49 and 22,645.50

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Solution

The fourth proportional to 75,242.94, 112,874.49 and 22,645.50 is: 33,971.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,242.94 : 112,874.49 = 22,645.50 : x
  2. Step 2: Convert to fraction form
    75,242.94/112,874.49 = 22,645.50/x
  3. Step 3: Cross multiply
    75,242.94x = 112,874.49 × 22,645.50
  4. Step 4: Simplify right side
    75,242.94x = 2,556,099,263.30
  5. Step 5: Solve for x
    x = 2,556,099,263.30/75,242.94
  6. Step 6: Final answer
    x = 33,971.28

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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.