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Finding the Fourth Proportional to 31,015.88, 46,486.76 and 11,271.32

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Solution

The fourth proportional to 31,015.88, 46,486.76 and 11,271.32 is: 16,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.88 : 46,486.76 = 11,271.32 : x
  2. Step 2: Convert to fraction form
    31,015.88/46,486.76 = 11,271.32/x
  3. Step 3: Cross multiply
    31,015.88x = 46,486.76 × 11,271.32
  4. Step 4: Simplify right side
    31,015.88x = 523,966,858.93
  5. Step 5: Solve for x
    x = 523,966,858.93/31,015.88
  6. Step 6: Final answer
    x = 16,893.51

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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.