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Finding the Fourth Proportional to 30,097.67, 45,146.40 and 9,037.62

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Solution

The fourth proportional to 30,097.67, 45,146.40 and 9,037.62 is: 13,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.67 : 45,146.40 = 9,037.62 : x
  2. Step 2: Convert to fraction form
    30,097.67/45,146.40 = 9,037.62/x
  3. Step 3: Cross multiply
    30,097.67x = 45,146.40 × 9,037.62
  4. Step 4: Simplify right side
    30,097.67x = 408,016,007.57
  5. Step 5: Solve for x
    x = 408,016,007.57/30,097.67
  6. Step 6: Final answer
    x = 13,556.40

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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.