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Finding the Fourth Proportional to 34,941.57, 52,420.56 and 11,568

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Solution

The fourth proportional to 34,941.57, 52,420.56 and 11,568 is: 17,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,941.57 : 52,420.56 = 11,568 : x
  2. Step 2: Convert to fraction form
    34,941.57/52,420.56 = 11,568/x
  3. Step 3: Cross multiply
    34,941.57x = 52,420.56 × 11,568
  4. Step 4: Simplify right side
    34,941.57x = 606,401,038.08
  5. Step 5: Solve for x
    x = 606,401,038.08/34,941.57
  6. Step 6: Final answer
    x = 17,354.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.