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Finding the Fourth Proportional to 111,922.50, 167,883.76 and 38,050.50

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Solution

The fourth proportional to 111,922.50, 167,883.76 and 38,050.50 is: 57,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,922.50 : 167,883.76 = 38,050.50 : x
  2. Step 2: Convert to fraction form
    111,922.50/167,883.76 = 38,050.50/x
  3. Step 3: Cross multiply
    111,922.50x = 167,883.76 × 38,050.50
  4. Step 4: Simplify right side
    111,922.50x = 6,388,061,009.88
  5. Step 5: Solve for x
    x = 6,388,061,009.88/111,922.50
  6. Step 6: Final answer
    x = 57,075.75

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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.