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Finding the Fourth Proportional to 46,955.77, 70,367.84 and 21,936.49

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Solution

The fourth proportional to 46,955.77, 70,367.84 and 21,936.49 is: 32,873.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,955.77 : 70,367.84 = 21,936.49 : x
  2. Step 2: Convert to fraction form
    46,955.77/70,367.84 = 21,936.49/x
  3. Step 3: Cross multiply
    46,955.77x = 70,367.84 × 21,936.49
  4. Step 4: Simplify right side
    46,955.77x = 1,543,623,215.14
  5. Step 5: Solve for x
    x = 1,543,623,215.14/46,955.77
  6. Step 6: Final answer
    x = 32,873.99

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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.