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Finding the Fourth Proportional to 46,056, 69,107.04 and 21,096

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Solution

The fourth proportional to 46,056, 69,107.04 and 21,096 is: 31,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,056 : 69,107.04 = 21,096 : x
  2. Step 2: Convert to fraction form
    46,056/69,107.04 = 21,096/x
  3. Step 3: Cross multiply
    46,056x = 69,107.04 × 21,096
  4. Step 4: Simplify right side
    46,056x = 1,457,882,115.84
  5. Step 5: Solve for x
    x = 1,457,882,115.84/46,056
  6. Step 6: Final answer
    x = 31,654.55

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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.