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Finding the Fourth Proportional to 30,915.41, 46,376.52 and 9,850.55

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Solution

The fourth proportional to 30,915.41, 46,376.52 and 9,850.55 is: 14,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915.41 : 46,376.52 = 9,850.55 : x
  2. Step 2: Convert to fraction form
    30,915.41/46,376.52 = 9,850.55/x
  3. Step 3: Cross multiply
    30,915.41x = 46,376.52 × 9,850.55
  4. Step 4: Simplify right side
    30,915.41x = 456,834,229.09
  5. Step 5: Solve for x
    x = 456,834,229.09/30,915.41
  6. Step 6: Final answer
    x = 14,776.91

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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.