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Finding the Fourth Proportional to 31,171.01, 46,762.62 and 11,449.72

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Solution

The fourth proportional to 31,171.01, 46,762.62 and 11,449.72 is: 17,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.01 : 46,762.62 = 11,449.72 : x
  2. Step 2: Convert to fraction form
    31,171.01/46,762.62 = 11,449.72/x
  3. Step 3: Cross multiply
    31,171.01x = 46,762.62 × 11,449.72
  4. Step 4: Simplify right side
    31,171.01x = 535,418,614.40
  5. Step 5: Solve for x
    x = 535,418,614.40/31,171.01
  6. Step 6: Final answer
    x = 17,176.81

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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.