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Finding the Fourth Proportional to 32,832.88, 49,245.20 and 9,142.18

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Solution

The fourth proportional to 32,832.88, 49,245.20 and 9,142.18 is: 13,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,832.88 : 49,245.20 = 9,142.18 : x
  2. Step 2: Convert to fraction form
    32,832.88/49,245.20 = 9,142.18/x
  3. Step 3: Cross multiply
    32,832.88x = 49,245.20 × 9,142.18
  4. Step 4: Simplify right side
    32,832.88x = 450,208,482.54
  5. Step 5: Solve for x
    x = 450,208,482.54/32,832.88
  6. Step 6: Final answer
    x = 13,712.12

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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.