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Finding the Fourth Proportional to 32,015.63, 48,023.45 and 8,642.07

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Solution

The fourth proportional to 32,015.63, 48,023.45 and 8,642.07 is: 12,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.63 : 48,023.45 = 8,642.07 : x
  2. Step 2: Convert to fraction form
    32,015.63/48,023.45 = 8,642.07/x
  3. Step 3: Cross multiply
    32,015.63x = 48,023.45 × 8,642.07
  4. Step 4: Simplify right side
    32,015.63x = 415,022,016.54
  5. Step 5: Solve for x
    x = 415,022,016.54/32,015.63
  6. Step 6: Final answer
    x = 12,963.11

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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.