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Finding the Fourth Proportional to 34,265.46, 47,294.24 and 22,307.97

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Solution

The fourth proportional to 34,265.46, 47,294.24 and 22,307.97 is: 30,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,265.46 : 47,294.24 = 22,307.97 : x
  2. Step 2: Convert to fraction form
    34,265.46/47,294.24 = 22,307.97/x
  3. Step 3: Cross multiply
    34,265.46x = 47,294.24 × 22,307.97
  4. Step 4: Simplify right side
    34,265.46x = 1,055,038,487.09
  5. Step 5: Solve for x
    x = 1,055,038,487.09/34,265.46
  6. Step 6: Final answer
    x = 30,790.15

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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.