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Finding the Fourth Proportional to 31,708.28, 47,564.47 and 10,647.47

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Solution

The fourth proportional to 31,708.28, 47,564.47 and 10,647.47 is: 15,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.28 : 47,564.47 = 10,647.47 : x
  2. Step 2: Convert to fraction form
    31,708.28/47,564.47 = 10,647.47/x
  3. Step 3: Cross multiply
    31,708.28x = 47,564.47 × 10,647.47
  4. Step 4: Simplify right side
    31,708.28x = 506,441,267.39
  5. Step 5: Solve for x
    x = 506,441,267.39/31,708.28
  6. Step 6: Final answer
    x = 15,971.89

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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.