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Finding the Fourth Proportional to 111,873.84, 167,775.12 and 36,980

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Solution

The fourth proportional to 111,873.84, 167,775.12 and 36,980 is: 55,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,873.84 : 167,775.12 = 36,980 : x
  2. Step 2: Convert to fraction form
    111,873.84/167,775.12 = 36,980/x
  3. Step 3: Cross multiply
    111,873.84x = 167,775.12 × 36,980
  4. Step 4: Simplify right side
    111,873.84x = 6,204,323,937.60
  5. Step 5: Solve for x
    x = 6,204,323,937.60/111,873.84
  6. Step 6: Final answer
    x = 55,458.22

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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.