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Finding the Fourth Proportional to 111,857.76, 167,794.84 and 32,975.40

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Solution

The fourth proportional to 111,857.76, 167,794.84 and 32,975.40 is: 49,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,857.76 : 167,794.84 = 32,975.40 : x
  2. Step 2: Convert to fraction form
    111,857.76/167,794.84 = 32,975.40/x
  3. Step 3: Cross multiply
    111,857.76x = 167,794.84 × 32,975.40
  4. Step 4: Simplify right side
    111,857.76x = 5,533,102,637.39
  5. Step 5: Solve for x
    x = 5,533,102,637.39/111,857.76
  6. Step 6: Final answer
    x = 49,465.52

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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.