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Finding the Fourth Proportional to 32,004.12, 48,016.44 and 13,293.12

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Solution

The fourth proportional to 32,004.12, 48,016.44 and 13,293.12 is: 19,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.12 : 48,016.44 = 13,293.12 : x
  2. Step 2: Convert to fraction form
    32,004.12/48,016.44 = 13,293.12/x
  3. Step 3: Cross multiply
    32,004.12x = 48,016.44 × 13,293.12
  4. Step 4: Simplify right side
    32,004.12x = 638,288,298.89
  5. Step 5: Solve for x
    x = 638,288,298.89/32,004.12
  6. Step 6: Final answer
    x = 19,943.94

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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.