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Finding the Fourth Proportional to 32,076.63, 44,263.74 and 17,736.09

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Solution

The fourth proportional to 32,076.63, 44,263.74 and 17,736.09 is: 24,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.63 : 44,263.74 = 17,736.09 : x
  2. Step 2: Convert to fraction form
    32,076.63/44,263.74 = 17,736.09/x
  3. Step 3: Cross multiply
    32,076.63x = 44,263.74 × 17,736.09
  4. Step 4: Simplify right side
    32,076.63x = 785,065,676.38
  5. Step 5: Solve for x
    x = 785,065,676.38/32,076.63
  6. Step 6: Final answer
    x = 24,474.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.