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Finding the Fourth Proportional to 40,896.60, 61,344.72 and 11,314.14

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Solution

The fourth proportional to 40,896.60, 61,344.72 and 11,314.14 is: 16,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896.60 : 61,344.72 = 11,314.14 : x
  2. Step 2: Convert to fraction form
    40,896.60/61,344.72 = 11,314.14/x
  3. Step 3: Cross multiply
    40,896.60x = 61,344.72 × 11,314.14
  4. Step 4: Simplify right side
    40,896.60x = 694,062,750.34
  5. Step 5: Solve for x
    x = 694,062,750.34/40,896.60
  6. Step 6: Final answer
    x = 16,971.16

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Why These Related Problems?

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