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Finding the Fourth Proportional to 31,205.44, 46,814.24 and 11,484.16

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Solution

The fourth proportional to 31,205.44, 46,814.24 and 11,484.16 is: 17,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.44 : 46,814.24 = 11,484.16 : x
  2. Step 2: Convert to fraction form
    31,205.44/46,814.24 = 11,484.16/x
  3. Step 3: Cross multiply
    31,205.44x = 46,814.24 × 11,484.16
  4. Step 4: Simplify right side
    31,205.44x = 537,622,222.44
  5. Step 5: Solve for x
    x = 537,622,222.44/31,205.44
  6. Step 6: Final answer
    x = 17,228.48

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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.