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Finding the Fourth Proportional to 32,193.20, 48,284.40 and 8,814.08

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Solution

The fourth proportional to 32,193.20, 48,284.40 and 8,814.08 is: 13,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.20 : 48,284.40 = 8,814.08 : x
  2. Step 2: Convert to fraction form
    32,193.20/48,284.40 = 8,814.08/x
  3. Step 3: Cross multiply
    32,193.20x = 48,284.40 × 8,814.08
  4. Step 4: Simplify right side
    32,193.20x = 425,582,564.35
  5. Step 5: Solve for x
    x = 425,582,564.35/32,193.20
  6. Step 6: Final answer
    x = 13,219.64

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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.