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Finding the Fourth Proportional to 39,097.86, 53,942.04 and 22,099.92

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Solution

The fourth proportional to 39,097.86, 53,942.04 and 22,099.92 is: 30,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097.86 : 53,942.04 = 22,099.92 : x
  2. Step 2: Convert to fraction form
    39,097.86/53,942.04 = 22,099.92/x
  3. Step 3: Cross multiply
    39,097.86x = 53,942.04 × 22,099.92
  4. Step 4: Simplify right side
    39,097.86x = 1,192,114,768.64
  5. Step 5: Solve for x
    x = 1,192,114,768.64/39,097.86
  6. Step 6: Final answer
    x = 30,490.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.