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Finding the Fourth Proportional to 31,904.30, 47,770.05 and 24,992.30

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Solution

The fourth proportional to 31,904.30, 47,770.05 and 24,992.30 is: 37,420.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904.30 : 47,770.05 = 24,992.30 : x
  2. Step 2: Convert to fraction form
    31,904.30/47,770.05 = 24,992.30/x
  3. Step 3: Cross multiply
    31,904.30x = 47,770.05 × 24,992.30
  4. Step 4: Simplify right side
    31,904.30x = 1,193,883,420.62
  5. Step 5: Solve for x
    x = 1,193,883,420.62/31,904.30
  6. Step 6: Final answer
    x = 37,420.77

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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.