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Finding the Fourth Proportional to 35,824.64, 53,736.80 and 12,451

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Solution

The fourth proportional to 35,824.64, 53,736.80 and 12,451 is: 18,676.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,824.64 : 53,736.80 = 12,451 : x
  2. Step 2: Convert to fraction form
    35,824.64/53,736.80 = 12,451/x
  3. Step 3: Cross multiply
    35,824.64x = 53,736.80 × 12,451
  4. Step 4: Simplify right side
    35,824.64x = 669,076,896.80
  5. Step 5: Solve for x
    x = 669,076,896.80/35,824.64
  6. Step 6: Final answer
    x = 18,676.44

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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.