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Finding the Fourth Proportional to 30,097.14, 45,121.07 and 11,366.54

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Solution

The fourth proportional to 30,097.14, 45,121.07 and 11,366.54 is: 17,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.14 : 45,121.07 = 11,366.54 : x
  2. Step 2: Convert to fraction form
    30,097.14/45,121.07 = 11,366.54/x
  3. Step 3: Cross multiply
    30,097.14x = 45,121.07 × 11,366.54
  4. Step 4: Simplify right side
    30,097.14x = 512,870,447.00
  5. Step 5: Solve for x
    x = 512,870,447.00/30,097.14
  6. Step 6: Final answer
    x = 17,040.50

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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.