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Finding the Fourth Proportional to 32,015.86, 48,023.82 and 8,642.30

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Solution

The fourth proportional to 32,015.86, 48,023.82 and 8,642.30 is: 12,963.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.86 : 48,023.82 = 8,642.30 : x
  2. Step 2: Convert to fraction form
    32,015.86/48,023.82 = 8,642.30/x
  3. Step 3: Cross multiply
    32,015.86x = 48,023.82 × 8,642.30
  4. Step 4: Simplify right side
    32,015.86x = 415,036,259.59
  5. Step 5: Solve for x
    x = 415,036,259.59/32,015.86
  6. Step 6: Final answer
    x = 12,963.46

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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.