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Finding the Fourth Proportional to 31,867.67, 47,802.50 and 10,807.40

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Solution

The fourth proportional to 31,867.67, 47,802.50 and 10,807.40 is: 16,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,867.67 : 47,802.50 = 10,807.40 : x
  2. Step 2: Convert to fraction form
    31,867.67/47,802.50 = 10,807.40/x
  3. Step 3: Cross multiply
    31,867.67x = 47,802.50 × 10,807.40
  4. Step 4: Simplify right side
    31,867.67x = 516,620,738.50
  5. Step 5: Solve for x
    x = 516,620,738.50/31,867.67
  6. Step 6: Final answer
    x = 16,211.44

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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.