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Finding the Fourth Proportional to 30,098.28, 45,147.42 and 9,040.58

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Solution

The fourth proportional to 30,098.28, 45,147.42 and 9,040.58 is: 13,560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,098.28 : 45,147.42 = 9,040.58 : x
  2. Step 2: Convert to fraction form
    30,098.28/45,147.42 = 9,040.58/x
  3. Step 3: Cross multiply
    30,098.28x = 45,147.42 × 9,040.58
  4. Step 4: Simplify right side
    30,098.28x = 408,158,636.57
  5. Step 5: Solve for x
    x = 408,158,636.57/30,098.28
  6. Step 6: Final answer
    x = 13,560.86

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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.