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Finding the Fourth Proportional to 31,774.42, 47,652.49 and 12,799

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Solution

The fourth proportional to 31,774.42, 47,652.49 and 12,799 is: 19,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.42 : 47,652.49 = 12,799 : x
  2. Step 2: Convert to fraction form
    31,774.42/47,652.49 = 12,799/x
  3. Step 3: Cross multiply
    31,774.42x = 47,652.49 × 12,799
  4. Step 4: Simplify right side
    31,774.42x = 609,904,219.51
  5. Step 5: Solve for x
    x = 609,904,219.51/31,774.42
  6. Step 6: Final answer
    x = 19,194.82

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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.