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Finding the Fourth Proportional to 31,608.68, 47,376.54 and 11,874.62

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Solution

The fourth proportional to 31,608.68, 47,376.54 and 11,874.62 is: 17,798.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,608.68 : 47,376.54 = 11,874.62 : x
  2. Step 2: Convert to fraction form
    31,608.68/47,376.54 = 11,874.62/x
  3. Step 3: Cross multiply
    31,608.68x = 47,376.54 × 11,874.62
  4. Step 4: Simplify right side
    31,608.68x = 562,578,409.41
  5. Step 5: Solve for x
    x = 562,578,409.41/31,608.68
  6. Step 6: Final answer
    x = 17,798.23

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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.