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Finding the Fourth Proportional to 123,543.92, 185,313.72 and 30,050.48

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Solution

The fourth proportional to 123,543.92, 185,313.72 and 30,050.48 is: 45,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,543.92 : 185,313.72 = 30,050.48 : x
  2. Step 2: Convert to fraction form
    123,543.92/185,313.72 = 30,050.48/x
  3. Step 3: Cross multiply
    123,543.92x = 185,313.72 × 30,050.48
  4. Step 4: Simplify right side
    123,543.92x = 5,568,766,236.59
  5. Step 5: Solve for x
    x = 5,568,766,236.59/123,543.92
  6. Step 6: Final answer
    x = 45,075.19

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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.