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Finding the Fourth Proportional to 32,054.28, 48,081.42 and 12,342.12

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Solution

The fourth proportional to 32,054.28, 48,081.42 and 12,342.12 is: 18,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.28 : 48,081.42 = 12,342.12 : x
  2. Step 2: Convert to fraction form
    32,054.28/48,081.42 = 12,342.12/x
  3. Step 3: Cross multiply
    32,054.28x = 48,081.42 × 12,342.12
  4. Step 4: Simplify right side
    32,054.28x = 593,426,655.41
  5. Step 5: Solve for x
    x = 593,426,655.41/32,054.28
  6. Step 6: Final answer
    x = 18,513.18

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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.