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Finding the Fourth Proportional to 111,665, 167,574.30 and 46,001

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Solution

The fourth proportional to 111,665, 167,574.30 and 46,001 is: 69,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,665 : 167,574.30 = 46,001 : x
  2. Step 2: Convert to fraction form
    111,665/167,574.30 = 46,001/x
  3. Step 3: Cross multiply
    111,665x = 167,574.30 × 46,001
  4. Step 4: Simplify right side
    111,665x = 7,708,585,374.30
  5. Step 5: Solve for x
    x = 7,708,585,374.30/111,665
  6. Step 6: Final answer
    x = 69,033.14

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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.