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Finding the Fourth Proportional to 31,796.51, 47,701.52 and 12,074.63

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Solution

The fourth proportional to 31,796.51, 47,701.52 and 12,074.63 is: 18,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.51 : 47,701.52 = 12,074.63 : x
  2. Step 2: Convert to fraction form
    31,796.51/47,701.52 = 12,074.63/x
  3. Step 3: Cross multiply
    31,796.51x = 47,701.52 × 12,074.63
  4. Step 4: Simplify right side
    31,796.51x = 575,978,219.16
  5. Step 5: Solve for x
    x = 575,978,219.16/31,796.51
  6. Step 6: Final answer
    x = 18,114.51

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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.