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Finding the Fourth Proportional to 46,364.44, 69,546.66 and 18,643

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Solution

The fourth proportional to 46,364.44, 69,546.66 and 18,643 is: 27,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,364.44 : 69,546.66 = 18,643 : x
  2. Step 2: Convert to fraction form
    46,364.44/69,546.66 = 18,643/x
  3. Step 3: Cross multiply
    46,364.44x = 69,546.66 × 18,643
  4. Step 4: Simplify right side
    46,364.44x = 1,296,558,382.38
  5. Step 5: Solve for x
    x = 1,296,558,382.38/46,364.44
  6. Step 6: Final answer
    x = 27,964.50

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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.