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Finding the Fourth Proportional to 104,696, 157,072.80 and 30,824

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Solution

The fourth proportional to 104,696, 157,072.80 and 30,824 is: 46,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,696 : 157,072.80 = 30,824 : x
  2. Step 2: Convert to fraction form
    104,696/157,072.80 = 30,824/x
  3. Step 3: Cross multiply
    104,696x = 157,072.80 × 30,824
  4. Step 4: Simplify right side
    104,696x = 4,841,611,987.20
  5. Step 5: Solve for x
    x = 4,841,611,987.20/104,696
  6. Step 6: Final answer
    x = 46,244.48

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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.