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Finding the Fourth Proportional to 93,492, 140,238 and 27,828

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Solution

The fourth proportional to 93,492, 140,238 and 27,828 is: 41,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,492 : 140,238 = 27,828 : x
  2. Step 2: Convert to fraction form
    93,492/140,238 = 27,828/x
  3. Step 3: Cross multiply
    93,492x = 140,238 × 27,828
  4. Step 4: Simplify right side
    93,492x = 3,902,543,064
  5. Step 5: Solve for x
    x = 3,902,543,064/93,492
  6. Step 6: Final answer
    x = 41,742

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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.