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Finding the Fourth Proportional to 32,097.60, 48,141.54 and 8,405.64

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Solution

The fourth proportional to 32,097.60, 48,141.54 and 8,405.64 is: 12,607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.60 : 48,141.54 = 8,405.64 : x
  2. Step 2: Convert to fraction form
    32,097.60/48,141.54 = 8,405.64/x
  3. Step 3: Cross multiply
    32,097.60x = 48,141.54 × 8,405.64
  4. Step 4: Simplify right side
    32,097.60x = 404,660,454.29
  5. Step 5: Solve for x
    x = 404,660,454.29/32,097.60
  6. Step 6: Final answer
    x = 12,607.19

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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.