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Finding the Fourth Proportional to 32,633.20, 48,939.24 and 9,253.36

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Solution

The fourth proportional to 32,633.20, 48,939.24 and 9,253.36 is: 13,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633.20 : 48,939.24 = 9,253.36 : x
  2. Step 2: Convert to fraction form
    32,633.20/48,939.24 = 9,253.36/x
  3. Step 3: Cross multiply
    32,633.20x = 48,939.24 × 9,253.36
  4. Step 4: Simplify right side
    32,633.20x = 452,852,405.85
  5. Step 5: Solve for x
    x = 452,852,405.85/32,633.20
  6. Step 6: Final answer
    x = 13,877.05

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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.