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Finding the Fourth Proportional to 31,538.41, 47,303.04 and 10,188.28

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Solution

The fourth proportional to 31,538.41, 47,303.04 and 10,188.28 is: 15,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.41 : 47,303.04 = 10,188.28 : x
  2. Step 2: Convert to fraction form
    31,538.41/47,303.04 = 10,188.28/x
  3. Step 3: Cross multiply
    31,538.41x = 47,303.04 × 10,188.28
  4. Step 4: Simplify right side
    31,538.41x = 481,936,616.37
  5. Step 5: Solve for x
    x = 481,936,616.37/31,538.41
  6. Step 6: Final answer
    x = 15,280.94

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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.