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Finding the Fourth Proportional to 69,835.20, 104,779.68 and 32,414.40

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Solution

The fourth proportional to 69,835.20, 104,779.68 and 32,414.40 is: 48,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835.20 : 104,779.68 = 32,414.40 : x
  2. Step 2: Convert to fraction form
    69,835.20/104,779.68 = 32,414.40/x
  3. Step 3: Cross multiply
    69,835.20x = 104,779.68 × 32,414.40
  4. Step 4: Simplify right side
    69,835.20x = 3,396,370,459.39
  5. Step 5: Solve for x
    x = 3,396,370,459.39/69,835.20
  6. Step 6: Final answer
    x = 48,634.08

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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.