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Finding the Fourth Proportional to 114,075.88, 171,113.84 and 30,969.88

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Solution

The fourth proportional to 114,075.88, 171,113.84 and 30,969.88 is: 46,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,075.88 : 171,113.84 = 30,969.88 : x
  2. Step 2: Convert to fraction form
    114,075.88/171,113.84 = 30,969.88/x
  3. Step 3: Cross multiply
    114,075.88x = 171,113.84 × 30,969.88
  4. Step 4: Simplify right side
    114,075.88x = 5,299,375,091.14
  5. Step 5: Solve for x
    x = 5,299,375,091.14/114,075.88
  6. Step 6: Final answer
    x = 46,454.83

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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.