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Finding the Fourth Proportional to 93,894.38, 140,840.24 and 22,817.54

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Solution

The fourth proportional to 93,894.38, 140,840.24 and 22,817.54 is: 34,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,894.38 : 140,840.24 = 22,817.54 : x
  2. Step 2: Convert to fraction form
    93,894.38/140,840.24 = 22,817.54/x
  3. Step 3: Cross multiply
    93,894.38x = 140,840.24 × 22,817.54
  4. Step 4: Simplify right side
    93,894.38x = 3,213,627,809.81
  5. Step 5: Solve for x
    x = 3,213,627,809.81/93,894.38
  6. Step 6: Final answer
    x = 34,225.99

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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.