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Finding the Fourth Proportional to 75,951.11, 113,929.40 and 28,561.86

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Solution

The fourth proportional to 75,951.11, 113,929.40 and 28,561.86 is: 42,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,951.11 : 113,929.40 = 28,561.86 : x
  2. Step 2: Convert to fraction form
    75,951.11/113,929.40 = 28,561.86/x
  3. Step 3: Cross multiply
    75,951.11x = 113,929.40 × 28,561.86
  4. Step 4: Simplify right side
    75,951.11x = 3,254,035,644.09
  5. Step 5: Solve for x
    x = 3,254,035,644.09/75,951.11
  6. Step 6: Final answer
    x = 42,843.82

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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.