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Finding the Fourth Proportional to 31,968.10, 47,950.42 and 9,781.48

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Solution

The fourth proportional to 31,968.10, 47,950.42 and 9,781.48 is: 14,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,968.10 : 47,950.42 = 9,781.48 : x
  2. Step 2: Convert to fraction form
    31,968.10/47,950.42 = 9,781.48/x
  3. Step 3: Cross multiply
    31,968.10x = 47,950.42 × 9,781.48
  4. Step 4: Simplify right side
    31,968.10x = 469,026,074.22
  5. Step 5: Solve for x
    x = 469,026,074.22/31,968.10
  6. Step 6: Final answer
    x = 14,671.69

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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.