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Finding the Fourth Proportional to 30,633, 42,272.73 and 17,205.72

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Solution

The fourth proportional to 30,633, 42,272.73 and 17,205.72 is: 23,743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,633 : 42,272.73 = 17,205.72 : x
  2. Step 2: Convert to fraction form
    30,633/42,272.73 = 17,205.72/x
  3. Step 3: Cross multiply
    30,633x = 42,272.73 × 17,205.72
  4. Step 4: Simplify right side
    30,633x = 727,332,756.02
  5. Step 5: Solve for x
    x = 727,332,756.02/30,633
  6. Step 6: Final answer
    x = 23,743.44

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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.