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Finding the Fourth Proportional to 46,696, 70,044 and 13,864

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Solution

The fourth proportional to 46,696, 70,044 and 13,864 is: 20,796

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,696 : 70,044 = 13,864 : x
  2. Step 2: Convert to fraction form
    46,696/70,044 = 13,864/x
  3. Step 3: Cross multiply
    46,696x = 70,044 × 13,864
  4. Step 4: Simplify right side
    46,696x = 971,090,016
  5. Step 5: Solve for x
    x = 971,090,016/46,696
  6. Step 6: Final answer
    x = 20,796

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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.