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Finding the Fourth Proportional to 46,738, 70,107.48 and 13,906

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Solution

The fourth proportional to 46,738, 70,107.48 and 13,906 is: 20,859.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,738 : 70,107.48 = 13,906 : x
  2. Step 2: Convert to fraction form
    46,738/70,107.48 = 13,906/x
  3. Step 3: Cross multiply
    46,738x = 70,107.48 × 13,906
  4. Step 4: Simplify right side
    46,738x = 974,914,616.88
  5. Step 5: Solve for x
    x = 974,914,616.88/46,738
  6. Step 6: Final answer
    x = 20,859.14

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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.