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Finding the Fourth Proportional to 32,146.36, 48,224.10 and 9,961.48

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Solution

The fourth proportional to 32,146.36, 48,224.10 and 9,961.48 is: 14,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,146.36 : 48,224.10 = 9,961.48 : x
  2. Step 2: Convert to fraction form
    32,146.36/48,224.10 = 9,961.48/x
  3. Step 3: Cross multiply
    32,146.36x = 48,224.10 × 9,961.48
  4. Step 4: Simplify right side
    32,146.36x = 480,383,407.67
  5. Step 5: Solve for x
    x = 480,383,407.67/32,146.36
  6. Step 6: Final answer
    x = 14,943.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.