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Finding the Fourth Proportional to 31,647.35, 47,443.68 and 14,998.88

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Solution

The fourth proportional to 31,647.35, 47,443.68 and 14,998.88 is: 22,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.35 : 47,443.68 = 14,998.88 : x
  2. Step 2: Convert to fraction form
    31,647.35/47,443.68 = 14,998.88/x
  3. Step 3: Cross multiply
    31,647.35x = 47,443.68 × 14,998.88
  4. Step 4: Simplify right side
    31,647.35x = 711,601,825.86
  5. Step 5: Solve for x
    x = 711,601,825.86/31,647.35
  6. Step 6: Final answer
    x = 22,485.36

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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.