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Finding the Fourth Proportional to 31,219.95, 46,846.94 and 11,495.64

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Solution

The fourth proportional to 31,219.95, 46,846.94 and 11,495.64 is: 17,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,219.95 : 46,846.94 = 11,495.64 : x
  2. Step 2: Convert to fraction form
    31,219.95/46,846.94 = 11,495.64/x
  3. Step 3: Cross multiply
    31,219.95x = 46,846.94 × 11,495.64
  4. Step 4: Simplify right side
    31,219.95x = 538,535,499.86
  5. Step 5: Solve for x
    x = 538,535,499.86/31,219.95
  6. Step 6: Final answer
    x = 17,249.72

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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.