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Finding the Fourth Proportional to 41,310, 61,965 and 13,610.16

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Solution

The fourth proportional to 41,310, 61,965 and 13,610.16 is: 20,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,310 : 61,965 = 13,610.16 : x
  2. Step 2: Convert to fraction form
    41,310/61,965 = 13,610.16/x
  3. Step 3: Cross multiply
    41,310x = 61,965 × 13,610.16
  4. Step 4: Simplify right side
    41,310x = 843,353,564.40
  5. Step 5: Solve for x
    x = 843,353,564.40/41,310
  6. Step 6: Final answer
    x = 20,415.24

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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.