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Finding the Fourth Proportional to 32,980.43, 49,465.87 and 10,794.69

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Solution

The fourth proportional to 32,980.43, 49,465.87 and 10,794.69 is: 16,190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.43 : 49,465.87 = 10,794.69 : x
  2. Step 2: Convert to fraction form
    32,980.43/49,465.87 = 10,794.69/x
  3. Step 3: Cross multiply
    32,980.43x = 49,465.87 × 10,794.69
  4. Step 4: Simplify right side
    32,980.43x = 533,968,705.24
  5. Step 5: Solve for x
    x = 533,968,705.24/32,980.43
  6. Step 6: Final answer
    x = 16,190.47

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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.