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Finding the Fourth Proportional to 31,276.73, 46,915.08 and 7,903.16

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Solution

The fourth proportional to 31,276.73, 46,915.08 and 7,903.16 is: 11,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,276.73 : 46,915.08 = 7,903.16 : x
  2. Step 2: Convert to fraction form
    31,276.73/46,915.08 = 7,903.16/x
  3. Step 3: Cross multiply
    31,276.73x = 46,915.08 × 7,903.16
  4. Step 4: Simplify right side
    31,276.73x = 370,777,383.65
  5. Step 5: Solve for x
    x = 370,777,383.65/31,276.73
  6. Step 6: Final answer
    x = 11,854.74

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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.