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Finding the Fourth Proportional to 30,175.74, 45,266.04 and 11,464.74

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Solution

The fourth proportional to 30,175.74, 45,266.04 and 11,464.74 is: 17,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.74 : 45,266.04 = 11,464.74 : x
  2. Step 2: Convert to fraction form
    30,175.74/45,266.04 = 11,464.74/x
  3. Step 3: Cross multiply
    30,175.74x = 45,266.04 × 11,464.74
  4. Step 4: Simplify right side
    30,175.74x = 518,963,379.43
  5. Step 5: Solve for x
    x = 518,963,379.43/30,175.74
  6. Step 6: Final answer
    x = 17,198.03

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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.