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Finding the Fourth Proportional to 46,355.44, 69,533.16 and 18,634

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Solution

The fourth proportional to 46,355.44, 69,533.16 and 18,634 is: 27,951

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,355.44 : 69,533.16 = 18,634 : x
  2. Step 2: Convert to fraction form
    46,355.44/69,533.16 = 18,634/x
  3. Step 3: Cross multiply
    46,355.44x = 69,533.16 × 18,634
  4. Step 4: Simplify right side
    46,355.44x = 1,295,680,903.44
  5. Step 5: Solve for x
    x = 1,295,680,903.44/46,355.44
  6. Step 6: Final answer
    x = 27,951

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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.