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Finding the Fourth Proportional to 46,674, 70,011 and 13,842

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Solution

The fourth proportional to 46,674, 70,011 and 13,842 is: 20,763

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674 : 70,011 = 13,842 : x
  2. Step 2: Convert to fraction form
    46,674/70,011 = 13,842/x
  3. Step 3: Cross multiply
    46,674x = 70,011 × 13,842
  4. Step 4: Simplify right side
    46,674x = 969,092,262
  5. Step 5: Solve for x
    x = 969,092,262/46,674
  6. Step 6: Final answer
    x = 20,763

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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.