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Finding the Fourth Proportional to 32,196.13, 48,293.96 and 10,009.46

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Solution

The fourth proportional to 32,196.13, 48,293.96 and 10,009.46 is: 15,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.13 : 48,293.96 = 10,009.46 : x
  2. Step 2: Convert to fraction form
    32,196.13/48,293.96 = 10,009.46/x
  3. Step 3: Cross multiply
    32,196.13x = 48,293.96 × 10,009.46
  4. Step 4: Simplify right side
    32,196.13x = 483,396,531.55
  5. Step 5: Solve for x
    x = 483,396,531.55/32,196.13
  6. Step 6: Final answer
    x = 15,014.12

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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.