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Finding the Fourth Proportional to 31,086, 46,629.36 and 7,712.64

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Solution

The fourth proportional to 31,086, 46,629.36 and 7,712.64 is: 11,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,086 : 46,629.36 = 7,712.64 : x
  2. Step 2: Convert to fraction form
    31,086/46,629.36 = 7,712.64/x
  3. Step 3: Cross multiply
    31,086x = 46,629.36 × 7,712.64
  4. Step 4: Simplify right side
    31,086x = 359,635,467.11
  5. Step 5: Solve for x
    x = 359,635,467.11/31,086
  6. Step 6: Final answer
    x = 11,569.05

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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.