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Finding the Fourth Proportional to 32,017.54, 48,028.63 and 12,296.09

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Solution

The fourth proportional to 32,017.54, 48,028.63 and 12,296.09 is: 18,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.54 : 48,028.63 = 12,296.09 : x
  2. Step 2: Convert to fraction form
    32,017.54/48,028.63 = 12,296.09/x
  3. Step 3: Cross multiply
    32,017.54x = 48,028.63 × 12,296.09
  4. Step 4: Simplify right side
    32,017.54x = 590,564,357.06
  5. Step 5: Solve for x
    x = 590,564,357.06/32,017.54
  6. Step 6: Final answer
    x = 18,445.03

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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.