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Finding the Fourth Proportional to 32,050.48, 48,100.52 and 20,954.16

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Solution

The fourth proportional to 32,050.48, 48,100.52 and 20,954.16 is: 31,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.48 : 48,100.52 = 20,954.16 : x
  2. Step 2: Convert to fraction form
    32,050.48/48,100.52 = 20,954.16/x
  3. Step 3: Cross multiply
    32,050.48x = 48,100.52 × 20,954.16
  4. Step 4: Simplify right side
    32,050.48x = 1,007,905,992.16
  5. Step 5: Solve for x
    x = 1,007,905,992.16/32,050.48
  6. Step 6: Final answer
    x = 31,447.45

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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.