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Finding the Fourth Proportional to 32,859.20, 49,296.13 and 9,485.64

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Solution

The fourth proportional to 32,859.20, 49,296.13 and 9,485.64 is: 14,230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,859.20 : 49,296.13 = 9,485.64 : x
  2. Step 2: Convert to fraction form
    32,859.20/49,296.13 = 9,485.64/x
  3. Step 3: Cross multiply
    32,859.20x = 49,296.13 × 9,485.64
  4. Step 4: Simplify right side
    32,859.20x = 467,605,318.86
  5. Step 5: Solve for x
    x = 467,605,318.86/32,859.20
  6. Step 6: Final answer
    x = 14,230.57

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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.