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Finding the Fourth Proportional to 30,098.20, 45,150 and 7,911.24

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Solution

The fourth proportional to 30,098.20, 45,150 and 7,911.24 is: 11,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.20 : 45,150 = 7,911.24 : x
  2. Step 2: Convert to fraction form
    30,098.20/45,150 = 7,911.24/x
  3. Step 3: Cross multiply
    30,098.20x = 45,150 × 7,911.24
  4. Step 4: Simplify right side
    30,098.20x = 357,192,486
  5. Step 5: Solve for x
    x = 357,192,486/30,098.20
  6. Step 6: Final answer
    x = 11,867.57

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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.