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Finding the Fourth Proportional to 111,384.19, 167,021 and 35,472.84

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Solution

The fourth proportional to 111,384.19, 167,021 and 35,472.84 is: 53,191.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,384.19 : 167,021 = 35,472.84 : x
  2. Step 2: Convert to fraction form
    111,384.19/167,021 = 35,472.84/x
  3. Step 3: Cross multiply
    111,384.19x = 167,021 × 35,472.84
  4. Step 4: Simplify right side
    111,384.19x = 5,924,709,209.64
  5. Step 5: Solve for x
    x = 5,924,709,209.64/111,384.19
  6. Step 6: Final answer
    x = 53,191.65

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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.