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Finding the Fourth Proportional to 32,224.60, 48,307.74 and 11,443.24

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Solution

The fourth proportional to 32,224.60, 48,307.74 and 11,443.24 is: 17,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224.60 : 48,307.74 = 11,443.24 : x
  2. Step 2: Convert to fraction form
    32,224.60/48,307.74 = 11,443.24/x
  3. Step 3: Cross multiply
    32,224.60x = 48,307.74 × 11,443.24
  4. Step 4: Simplify right side
    32,224.60x = 552,797,062.68
  5. Step 5: Solve for x
    x = 552,797,062.68/32,224.60
  6. Step 6: Final answer
    x = 17,154.51

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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.