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Finding the Fourth Proportional to 46,896, 70,344 and 14,064

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Solution

The fourth proportional to 46,896, 70,344 and 14,064 is: 21,096

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896 : 70,344 = 14,064 : x
  2. Step 2: Convert to fraction form
    46,896/70,344 = 14,064/x
  3. Step 3: Cross multiply
    46,896x = 70,344 × 14,064
  4. Step 4: Simplify right side
    46,896x = 989,318,016
  5. Step 5: Solve for x
    x = 989,318,016/46,896
  6. Step 6: Final answer
    x = 21,096

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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.