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Finding the Fourth Proportional to 46,728, 70,092 and 13,896

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Solution

The fourth proportional to 46,728, 70,092 and 13,896 is: 20,844

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,728 : 70,092 = 13,896 : x
  2. Step 2: Convert to fraction form
    46,728/70,092 = 13,896/x
  3. Step 3: Cross multiply
    46,728x = 70,092 × 13,896
  4. Step 4: Simplify right side
    46,728x = 973,998,432
  5. Step 5: Solve for x
    x = 973,998,432/46,728
  6. Step 6: Final answer
    x = 20,844

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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.