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Finding the Fourth Proportional to 30,782.75, 46,176.74 and 9,717.15

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Solution

The fourth proportional to 30,782.75, 46,176.74 and 9,717.15 is: 14,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.75 : 46,176.74 = 9,717.15 : x
  2. Step 2: Convert to fraction form
    30,782.75/46,176.74 = 9,717.15/x
  3. Step 3: Cross multiply
    30,782.75x = 46,176.74 × 9,717.15
  4. Step 4: Simplify right side
    30,782.75x = 448,706,278.72
  5. Step 5: Solve for x
    x = 448,706,278.72/30,782.75
  6. Step 6: Final answer
    x = 14,576.55

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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.