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Finding the Fourth Proportional to 32,194.28, 48,298.26 and 10,007.12

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Solution

The fourth proportional to 32,194.28, 48,298.26 and 10,007.12 is: 15,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.28 : 48,298.26 = 10,007.12 : x
  2. Step 2: Convert to fraction form
    32,194.28/48,298.26 = 10,007.12/x
  3. Step 3: Cross multiply
    32,194.28x = 48,298.26 × 10,007.12
  4. Step 4: Simplify right side
    32,194.28x = 483,326,483.61
  5. Step 5: Solve for x
    x = 483,326,483.61/32,194.28
  6. Step 6: Final answer
    x = 15,012.81

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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.