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Finding the Fourth Proportional to 32,568.32, 48,846.96 and 9,189.28

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Solution

The fourth proportional to 32,568.32, 48,846.96 and 9,189.28 is: 13,782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568.32 : 48,846.96 = 9,189.28 : x
  2. Step 2: Convert to fraction form
    32,568.32/48,846.96 = 9,189.28/x
  3. Step 3: Cross multiply
    32,568.32x = 48,846.96 × 9,189.28
  4. Step 4: Simplify right side
    32,568.32x = 448,868,392.59
  5. Step 5: Solve for x
    x = 448,868,392.59/32,568.32
  6. Step 6: Final answer
    x = 13,782.36

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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.