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Finding the Fourth Proportional to 93,653.50, 140,509.87 and 33,640.86

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Solution

The fourth proportional to 93,653.50, 140,509.87 and 33,640.86 is: 50,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,653.50 : 140,509.87 = 33,640.86 : x
  2. Step 2: Convert to fraction form
    93,653.50/140,509.87 = 33,640.86/x
  3. Step 3: Cross multiply
    93,653.50x = 140,509.87 × 33,640.86
  4. Step 4: Simplify right side
    93,653.50x = 4,726,872,865.29
  5. Step 5: Solve for x
    x = 4,726,872,865.29/93,653.50
  6. Step 6: Final answer
    x = 50,471.93

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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.