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Finding the Fourth Proportional to 31,656.39, 47,494.10 and 9,470.49

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Solution

The fourth proportional to 31,656.39, 47,494.10 and 9,470.49 is: 14,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.39 : 47,494.10 = 9,470.49 : x
  2. Step 2: Convert to fraction form
    31,656.39/47,494.10 = 9,470.49/x
  3. Step 3: Cross multiply
    31,656.39x = 47,494.10 × 9,470.49
  4. Step 4: Simplify right side
    31,656.39x = 449,792,399.11
  5. Step 5: Solve for x
    x = 449,792,399.11/31,656.39
  6. Step 6: Final answer
    x = 14,208.58

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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.