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Finding the Fourth Proportional to 32,172.48, 48,233.28 and 20,904

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Solution

The fourth proportional to 32,172.48, 48,233.28 and 20,904 is: 31,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.48 : 48,233.28 = 20,904 : x
  2. Step 2: Convert to fraction form
    32,172.48/48,233.28 = 20,904/x
  3. Step 3: Cross multiply
    32,172.48x = 48,233.28 × 20,904
  4. Step 4: Simplify right side
    32,172.48x = 1,008,268,485.12
  5. Step 5: Solve for x
    x = 1,008,268,485.12/32,172.48
  6. Step 6: Final answer
    x = 31,339.47

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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.