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Finding the Fourth Proportional to 93,488, 140,232 and 27,824

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Solution

The fourth proportional to 93,488, 140,232 and 27,824 is: 41,736

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,488 : 140,232 = 27,824 : x
  2. Step 2: Convert to fraction form
    93,488/140,232 = 27,824/x
  3. Step 3: Cross multiply
    93,488x = 140,232 × 27,824
  4. Step 4: Simplify right side
    93,488x = 3,901,815,168
  5. Step 5: Solve for x
    x = 3,901,815,168/93,488
  6. Step 6: Final answer
    x = 41,736

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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.