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Finding the Fourth Proportional to 32,077, 48,125.22 and 11,305.36

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Solution

The fourth proportional to 32,077, 48,125.22 and 11,305.36 is: 16,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077 : 48,125.22 = 11,305.36 : x
  2. Step 2: Convert to fraction form
    32,077/48,125.22 = 11,305.36/x
  3. Step 3: Cross multiply
    32,077x = 48,125.22 × 11,305.36
  4. Step 4: Simplify right side
    32,077x = 544,072,937.18
  5. Step 5: Solve for x
    x = 544,072,937.18/32,077
  6. Step 6: Final answer
    x = 16,961.47

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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.