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Finding the Fourth Proportional to 32,194.32, 48,293.64 and 18,314.16

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Solution

The fourth proportional to 32,194.32, 48,293.64 and 18,314.16 is: 27,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.32 : 48,293.64 = 18,314.16 : x
  2. Step 2: Convert to fraction form
    32,194.32/48,293.64 = 18,314.16/x
  3. Step 3: Cross multiply
    32,194.32x = 48,293.64 × 18,314.16
  4. Step 4: Simplify right side
    32,194.32x = 884,457,449.94
  5. Step 5: Solve for x
    x = 884,457,449.94/32,194.32
  6. Step 6: Final answer
    x = 27,472.47

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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.