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Finding the Fourth Proportional to 93,678, 140,499.84 and 27,101.76

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Solution

The fourth proportional to 93,678, 140,499.84 and 27,101.76 is: 40,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,678 : 140,499.84 = 27,101.76 : x
  2. Step 2: Convert to fraction form
    93,678/140,499.84 = 27,101.76/x
  3. Step 3: Cross multiply
    93,678x = 140,499.84 × 27,101.76
  4. Step 4: Simplify right side
    93,678x = 3,807,792,943.72
  5. Step 5: Solve for x
    x = 3,807,792,943.72/93,678
  6. Step 6: Final answer
    x = 40,647.68

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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.