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Finding the Fourth Proportional to 30,033.40, 41,446.59 and 17,458.15

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Solution

The fourth proportional to 30,033.40, 41,446.59 and 17,458.15 is: 24,092.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,033.40 : 41,446.59 = 17,458.15 : x
  2. Step 2: Convert to fraction form
    30,033.40/41,446.59 = 17,458.15/x
  3. Step 3: Cross multiply
    30,033.40x = 41,446.59 × 17,458.15
  4. Step 4: Simplify right side
    30,033.40x = 723,580,785.21
  5. Step 5: Solve for x
    x = 723,580,785.21/30,033.40
  6. Step 6: Final answer
    x = 24,092.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.