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Finding the Fourth Proportional to 93,487, 140,230.50 and 27,823

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Solution

The fourth proportional to 93,487, 140,230.50 and 27,823 is: 41,734.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,487 : 140,230.50 = 27,823 : x
  2. Step 2: Convert to fraction form
    93,487/140,230.50 = 27,823/x
  3. Step 3: Cross multiply
    93,487x = 140,230.50 × 27,823
  4. Step 4: Simplify right side
    93,487x = 3,901,633,201.50
  5. Step 5: Solve for x
    x = 3,901,633,201.50/93,487
  6. Step 6: Final answer
    x = 41,734.50

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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.