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Finding the Fourth Proportional to 31,374.08, 47,060.48 and 8,000

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Solution

The fourth proportional to 31,374.08, 47,060.48 and 8,000 is: 11,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.08 : 47,060.48 = 8,000 : x
  2. Step 2: Convert to fraction form
    31,374.08/47,060.48 = 8,000/x
  3. Step 3: Cross multiply
    31,374.08x = 47,060.48 × 8,000
  4. Step 4: Simplify right side
    31,374.08x = 376,483,840
  5. Step 5: Solve for x
    x = 376,483,840/31,374.08
  6. Step 6: Final answer
    x = 11,999.84

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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.