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Finding the Fourth Proportional to 32,960.81, 49,444.25 and 10,774.31

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Solution

The fourth proportional to 32,960.81, 49,444.25 and 10,774.31 is: 16,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.81 : 49,444.25 = 10,774.31 : x
  2. Step 2: Convert to fraction form
    32,960.81/49,444.25 = 10,774.31/x
  3. Step 3: Cross multiply
    32,960.81x = 49,444.25 × 10,774.31
  4. Step 4: Simplify right side
    32,960.81x = 532,727,376.12
  5. Step 5: Solve for x
    x = 532,727,376.12/32,960.81
  6. Step 6: Final answer
    x = 16,162.45

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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.