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Finding the Fourth Proportional to 32,483.97, 48,728.66 and 11,422.22

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Solution

The fourth proportional to 32,483.97, 48,728.66 and 11,422.22 is: 17,134.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,483.97 : 48,728.66 = 11,422.22 : x
  2. Step 2: Convert to fraction form
    32,483.97/48,728.66 = 11,422.22/x
  3. Step 3: Cross multiply
    32,483.97x = 48,728.66 × 11,422.22
  4. Step 4: Simplify right side
    32,483.97x = 556,589,174.07
  5. Step 5: Solve for x
    x = 556,589,174.07/32,483.97
  6. Step 6: Final answer
    x = 17,134.27

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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.