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Finding the Fourth Proportional to 27,077.50, 40,611.46 and 7,357.60

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Solution

The fourth proportional to 27,077.50, 40,611.46 and 7,357.60 is: 11,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,077.50 : 40,611.46 = 7,357.60 : x
  2. Step 2: Convert to fraction form
    27,077.50/40,611.46 = 7,357.60/x
  3. Step 3: Cross multiply
    27,077.50x = 40,611.46 × 7,357.60
  4. Step 4: Simplify right side
    27,077.50x = 298,802,878.10
  5. Step 5: Solve for x
    x = 298,802,878.10/27,077.50
  6. Step 6: Final answer
    x = 11,035.10

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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.