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Finding the Fourth Proportional to 30,835.57, 42,550.02 and 17,404.24

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Solution

The fourth proportional to 30,835.57, 42,550.02 and 17,404.24 is: 24,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.57 : 42,550.02 = 17,404.24 : x
  2. Step 2: Convert to fraction form
    30,835.57/42,550.02 = 17,404.24/x
  3. Step 3: Cross multiply
    30,835.57x = 42,550.02 × 17,404.24
  4. Step 4: Simplify right side
    30,835.57x = 740,550,760.08
  5. Step 5: Solve for x
    x = 740,550,760.08/30,835.57
  6. Step 6: Final answer
    x = 24,016.12

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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.