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Finding the Fourth Proportional to 75,102.90, 112,685.76 and 32,961.24

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Solution

The fourth proportional to 75,102.90, 112,685.76 and 32,961.24 is: 49,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,102.90 : 112,685.76 = 32,961.24 : x
  2. Step 2: Convert to fraction form
    75,102.90/112,685.76 = 32,961.24/x
  3. Step 3: Cross multiply
    75,102.90x = 112,685.76 × 32,961.24
  4. Step 4: Simplify right side
    75,102.90x = 3,714,262,379.94
  5. Step 5: Solve for x
    x = 3,714,262,379.94/75,102.90
  6. Step 6: Final answer
    x = 49,455.65

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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.