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Finding the Fourth Proportional to 32,598.24, 48,891.60 and 9,218.40

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Solution

The fourth proportional to 32,598.24, 48,891.60 and 9,218.40 is: 13,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,598.24 : 48,891.60 = 9,218.40 : x
  2. Step 2: Convert to fraction form
    32,598.24/48,891.60 = 9,218.40/x
  3. Step 3: Cross multiply
    32,598.24x = 48,891.60 × 9,218.40
  4. Step 4: Simplify right side
    32,598.24x = 450,702,325.44
  5. Step 5: Solve for x
    x = 450,702,325.44/32,598.24
  6. Step 6: Final answer
    x = 13,825.97

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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.