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Finding the Fourth Proportional to 31,164.66, 46,719.19 and 11,438.64

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Solution

The fourth proportional to 31,164.66, 46,719.19 and 11,438.64 is: 17,147.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.66 : 46,719.19 = 11,438.64 : x
  2. Step 2: Convert to fraction form
    31,164.66/46,719.19 = 11,438.64/x
  3. Step 3: Cross multiply
    31,164.66x = 46,719.19 × 11,438.64
  4. Step 4: Simplify right side
    31,164.66x = 534,403,995.50
  5. Step 5: Solve for x
    x = 534,403,995.50/31,164.66
  6. Step 6: Final answer
    x = 17,147.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.