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Finding the Fourth Proportional to 61,224.32, 91,819.68 and 16,840.64

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Solution

The fourth proportional to 61,224.32, 91,819.68 and 16,840.64 is: 25,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,224.32 : 91,819.68 = 16,840.64 : x
  2. Step 2: Convert to fraction form
    61,224.32/91,819.68 = 16,840.64/x
  3. Step 3: Cross multiply
    61,224.32x = 91,819.68 × 16,840.64
  4. Step 4: Simplify right side
    61,224.32x = 1,546,302,175.80
  5. Step 5: Solve for x
    x = 1,546,302,175.80/61,224.32
  6. Step 6: Final answer
    x = 25,256.34

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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.