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Finding the Fourth Proportional to 75,766.31, 113,624.86 and 35,779.11

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Solution

The fourth proportional to 75,766.31, 113,624.86 and 35,779.11 is: 53,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,766.31 : 113,624.86 = 35,779.11 : x
  2. Step 2: Convert to fraction form
    75,766.31/113,624.86 = 35,779.11/x
  3. Step 3: Cross multiply
    75,766.31x = 113,624.86 × 35,779.11
  4. Step 4: Simplify right side
    75,766.31x = 4,065,396,364.67
  5. Step 5: Solve for x
    x = 4,065,396,364.67/75,766.31
  6. Step 6: Final answer
    x = 53,657.05

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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.