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Finding the Fourth Proportional to 31,804.39, 47,706.59 and 10,744.49

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Solution

The fourth proportional to 31,804.39, 47,706.59 and 10,744.49 is: 16,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.39 : 47,706.59 = 10,744.49 : x
  2. Step 2: Convert to fraction form
    31,804.39/47,706.59 = 10,744.49/x
  3. Step 3: Cross multiply
    31,804.39x = 47,706.59 × 10,744.49
  4. Step 4: Simplify right side
    31,804.39x = 512,583,125.32
  5. Step 5: Solve for x
    x = 512,583,125.32/31,804.39
  6. Step 6: Final answer
    x = 16,116.74

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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.