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Finding the Fourth Proportional to 32,272.75, 48,431 and 11,496.25

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Solution

The fourth proportional to 32,272.75, 48,431 and 11,496.25 is: 17,252.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,272.75 : 48,431 = 11,496.25 : x
  2. Step 2: Convert to fraction form
    32,272.75/48,431 = 11,496.25/x
  3. Step 3: Cross multiply
    32,272.75x = 48,431 × 11,496.25
  4. Step 4: Simplify right side
    32,272.75x = 556,774,883.75
  5. Step 5: Solve for x
    x = 556,774,883.75/32,272.75
  6. Step 6: Final answer
    x = 17,252.17

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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.