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Finding the Fourth Proportional to 31,274.42, 46,903.42 and 9,081.84

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Solution

The fourth proportional to 31,274.42, 46,903.42 and 9,081.84 is: 13,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.42 : 46,903.42 = 9,081.84 : x
  2. Step 2: Convert to fraction form
    31,274.42/46,903.42 = 9,081.84/x
  3. Step 3: Cross multiply
    31,274.42x = 46,903.42 × 9,081.84
  4. Step 4: Simplify right side
    31,274.42x = 425,969,355.89
  5. Step 5: Solve for x
    x = 425,969,355.89/31,274.42
  6. Step 6: Final answer
    x = 13,620.38

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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.