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Finding the Fourth Proportional to 32,101.86, 48,152.64 and 8,728.24

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Solution

The fourth proportional to 32,101.86, 48,152.64 and 8,728.24 is: 13,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,101.86 : 48,152.64 = 8,728.24 : x
  2. Step 2: Convert to fraction form
    32,101.86/48,152.64 = 8,728.24/x
  3. Step 3: Cross multiply
    32,101.86x = 48,152.64 × 8,728.24
  4. Step 4: Simplify right side
    32,101.86x = 420,287,798.55
  5. Step 5: Solve for x
    x = 420,287,798.55/32,101.86
  6. Step 6: Final answer
    x = 13,092.32

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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.