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Finding the Fourth Proportional to 74,558.50, 111,803.19 and 27,798.82

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Solution

The fourth proportional to 74,558.50, 111,803.19 and 27,798.82 is: 41,685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,558.50 : 111,803.19 = 27,798.82 : x
  2. Step 2: Convert to fraction form
    74,558.50/111,803.19 = 27,798.82/x
  3. Step 3: Cross multiply
    74,558.50x = 111,803.19 × 27,798.82
  4. Step 4: Simplify right side
    74,558.50x = 3,107,997,137.99
  5. Step 5: Solve for x
    x = 3,107,997,137.99/74,558.50
  6. Step 6: Final answer
    x = 41,685.35

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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.