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Finding the Fourth Proportional to 46,804, 70,206 and 13,972

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Solution

The fourth proportional to 46,804, 70,206 and 13,972 is: 20,958

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,804 : 70,206 = 13,972 : x
  2. Step 2: Convert to fraction form
    46,804/70,206 = 13,972/x
  3. Step 3: Cross multiply
    46,804x = 70,206 × 13,972
  4. Step 4: Simplify right side
    46,804x = 980,918,232
  5. Step 5: Solve for x
    x = 980,918,232/46,804
  6. Step 6: Final answer
    x = 20,958

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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.