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Finding the Fourth Proportional to 31,161.33, 46,741.32 and 7,787.79

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Solution

The fourth proportional to 31,161.33, 46,741.32 and 7,787.79 is: 11,681.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,161.33 : 46,741.32 = 7,787.79 : x
  2. Step 2: Convert to fraction form
    31,161.33/46,741.32 = 7,787.79/x
  3. Step 3: Cross multiply
    31,161.33x = 46,741.32 × 7,787.79
  4. Step 4: Simplify right side
    31,161.33x = 364,011,584.48
  5. Step 5: Solve for x
    x = 364,011,584.48/31,161.33
  6. Step 6: Final answer
    x = 11,681.52

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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.