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Finding the Fourth Proportional to 31,116, 46,650.96 and 16,324.32

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Solution

The fourth proportional to 31,116, 46,650.96 and 16,324.32 is: 24,474.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116 : 46,650.96 = 16,324.32 : x
  2. Step 2: Convert to fraction form
    31,116/46,650.96 = 16,324.32/x
  3. Step 3: Cross multiply
    31,116x = 46,650.96 × 16,324.32
  4. Step 4: Simplify right side
    31,116x = 761,545,199.35
  5. Step 5: Solve for x
    x = 761,545,199.35/31,116
  6. Step 6: Final answer
    x = 24,474.39

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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.