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Finding the Fourth Proportional to 30,097.64, 45,121.82 and 11,367.05

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Solution

The fourth proportional to 30,097.64, 45,121.82 and 11,367.05 is: 17,041.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097.64 : 45,121.82 = 11,367.05 : x
  2. Step 2: Convert to fraction form
    30,097.64/45,121.82 = 11,367.05/x
  3. Step 3: Cross multiply
    30,097.64x = 45,121.82 × 11,367.05
  4. Step 4: Simplify right side
    30,097.64x = 512,901,701.59
  5. Step 5: Solve for x
    x = 512,901,701.59/30,097.64
  6. Step 6: Final answer
    x = 17,041.26

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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.