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Finding the Fourth Proportional to 46,744, 70,116 and 13,912

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Solution

The fourth proportional to 46,744, 70,116 and 13,912 is: 20,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,744 : 70,116 = 13,912 : x
  2. Step 2: Convert to fraction form
    46,744/70,116 = 13,912/x
  3. Step 3: Cross multiply
    46,744x = 70,116 × 13,912
  4. Step 4: Simplify right side
    46,744x = 975,453,792
  5. Step 5: Solve for x
    x = 975,453,792/46,744
  6. Step 6: Final answer
    x = 20,868

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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.