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Finding the Fourth Proportional to 31,418.96, 47,102.52 and 12,938

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Solution

The fourth proportional to 31,418.96, 47,102.52 and 12,938 is: 19,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.96 : 47,102.52 = 12,938 : x
  2. Step 2: Convert to fraction form
    31,418.96/47,102.52 = 12,938/x
  3. Step 3: Cross multiply
    31,418.96x = 47,102.52 × 12,938
  4. Step 4: Simplify right side
    31,418.96x = 609,412,403.76
  5. Step 5: Solve for x
    x = 609,412,403.76/31,418.96
  6. Step 6: Final answer
    x = 19,396.33

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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.