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Finding the Fourth Proportional to 46,802, 70,203 and 13,970

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Solution

The fourth proportional to 46,802, 70,203 and 13,970 is: 20,955

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,802 : 70,203 = 13,970 : x
  2. Step 2: Convert to fraction form
    46,802/70,203 = 13,970/x
  3. Step 3: Cross multiply
    46,802x = 70,203 × 13,970
  4. Step 4: Simplify right side
    46,802x = 980,735,910
  5. Step 5: Solve for x
    x = 980,735,910/46,802
  6. Step 6: Final answer
    x = 20,955

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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.