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Finding the Fourth Proportional to 31,078.16, 46,618.04 and 7,704.24

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Solution

The fourth proportional to 31,078.16, 46,618.04 and 7,704.24 is: 11,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,078.16 : 46,618.04 = 7,704.24 : x
  2. Step 2: Convert to fraction form
    31,078.16/46,618.04 = 7,704.24/x
  3. Step 3: Cross multiply
    31,078.16x = 46,618.04 × 7,704.24
  4. Step 4: Simplify right side
    31,078.16x = 359,156,568.49
  5. Step 5: Solve for x
    x = 359,156,568.49/31,078.16
  6. Step 6: Final answer
    x = 11,556.56

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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.