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Finding the Fourth Proportional to 46,831, 70,246.52 and 13,999

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Solution

The fourth proportional to 46,831, 70,246.52 and 13,999 is: 20,998.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,831 : 70,246.52 = 13,999 : x
  2. Step 2: Convert to fraction form
    46,831/70,246.52 = 13,999/x
  3. Step 3: Cross multiply
    46,831x = 70,246.52 × 13,999
  4. Step 4: Simplify right side
    46,831x = 983,381,033.48
  5. Step 5: Solve for x
    x = 983,381,033.48/46,831
  6. Step 6: Final answer
    x = 20,998.51

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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.