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Finding the Fourth Proportional to 32,978.23, 49,455.95 and 21,942.99

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Solution

The fourth proportional to 32,978.23, 49,455.95 and 21,942.99 is: 32,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.23 : 49,455.95 = 21,942.99 : x
  2. Step 2: Convert to fraction form
    32,978.23/49,455.95 = 21,942.99/x
  3. Step 3: Cross multiply
    32,978.23x = 49,455.95 × 21,942.99
  4. Step 4: Simplify right side
    32,978.23x = 1,085,211,416.29
  5. Step 5: Solve for x
    x = 1,085,211,416.29/32,978.23
  6. Step 6: Final answer
    x = 32,906.90

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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.