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Finding the Fourth Proportional to 32,774.80, 49,089.30 and 26,942.80

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Solution

The fourth proportional to 32,774.80, 49,089.30 and 26,942.80 is: 40,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.80 : 49,089.30 = 26,942.80 : x
  2. Step 2: Convert to fraction form
    32,774.80/49,089.30 = 26,942.80/x
  3. Step 3: Cross multiply
    32,774.80x = 49,089.30 × 26,942.80
  4. Step 4: Simplify right side
    32,774.80x = 1,322,603,192.04
  5. Step 5: Solve for x
    x = 1,322,603,192.04/32,774.80
  6. Step 6: Final answer
    x = 40,354.27

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1.5x scale

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.