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Finding the Fourth Proportional to 30,268.26, 45,402.18 and 7,778.85

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Solution

The fourth proportional to 30,268.26, 45,402.18 and 7,778.85 is: 11,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.26 : 45,402.18 = 7,778.85 : x
  2. Step 2: Convert to fraction form
    30,268.26/45,402.18 = 7,778.85/x
  3. Step 3: Cross multiply
    30,268.26x = 45,402.18 × 7,778.85
  4. Step 4: Simplify right side
    30,268.26x = 353,176,747.89
  5. Step 5: Solve for x
    x = 353,176,747.89/30,268.26
  6. Step 6: Final answer
    x = 11,668.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.