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Finding the Fourth Proportional to 32,097.60, 48,147.75 and 9,910.44

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Solution

The fourth proportional to 32,097.60, 48,147.75 and 9,910.44 is: 14,866.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.60 : 48,147.75 = 9,910.44 : x
  2. Step 2: Convert to fraction form
    32,097.60/48,147.75 = 9,910.44/x
  3. Step 3: Cross multiply
    32,097.60x = 48,147.75 × 9,910.44
  4. Step 4: Simplify right side
    32,097.60x = 477,165,387.51
  5. Step 5: Solve for x
    x = 477,165,387.51/32,097.60
  6. Step 6: Final answer
    x = 14,866.08

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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.