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Finding the Fourth Proportional to 46,786, 70,191.16 and 13,954

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Solution

The fourth proportional to 46,786, 70,191.16 and 13,954 is: 20,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,786 : 70,191.16 = 13,954 : x
  2. Step 2: Convert to fraction form
    46,786/70,191.16 = 13,954/x
  3. Step 3: Cross multiply
    46,786x = 70,191.16 × 13,954
  4. Step 4: Simplify right side
    46,786x = 979,447,446.64
  5. Step 5: Solve for x
    x = 979,447,446.64/46,786
  6. Step 6: Final answer
    x = 20,934.63

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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.