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Finding the Fourth Proportional to 32,738.87, 49,108.31 and 9,365.30

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Solution

The fourth proportional to 32,738.87, 49,108.31 and 9,365.30 is: 14,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,738.87 : 49,108.31 = 9,365.30 : x
  2. Step 2: Convert to fraction form
    32,738.87/49,108.31 = 9,365.30/x
  3. Step 3: Cross multiply
    32,738.87x = 49,108.31 × 9,365.30
  4. Step 4: Simplify right side
    32,738.87x = 459,914,131.59
  5. Step 5: Solve for x
    x = 459,914,131.59/32,738.87
  6. Step 6: Final answer
    x = 14,047.96

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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.