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Finding the Fourth Proportional to 75,766.81, 113,625.60 and 35,779.61

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Solution

The fourth proportional to 75,766.81, 113,625.60 and 35,779.61 is: 53,657.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,766.81 : 113,625.60 = 35,779.61 : x
  2. Step 2: Convert to fraction form
    75,766.81/113,625.60 = 35,779.61/x
  3. Step 3: Cross multiply
    75,766.81x = 113,625.60 × 35,779.61
  4. Step 4: Simplify right side
    75,766.81x = 4,065,479,654.02
  5. Step 5: Solve for x
    x = 4,065,479,654.02/75,766.81
  6. Step 6: Final answer
    x = 53,657.79

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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.