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Finding the Fourth Proportional to 30,452.30, 42,023.22 and 17,706.50

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Solution

The fourth proportional to 30,452.30, 42,023.22 and 17,706.50 is: 24,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,452.30 : 42,023.22 = 17,706.50 : x
  2. Step 2: Convert to fraction form
    30,452.30/42,023.22 = 17,706.50/x
  3. Step 3: Cross multiply
    30,452.30x = 42,023.22 × 17,706.50
  4. Step 4: Simplify right side
    30,452.30x = 744,084,144.93
  5. Step 5: Solve for x
    x = 744,084,144.93/30,452.30
  6. Step 6: Final answer
    x = 24,434.42

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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.