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Finding the Fourth Proportional to 111,246.85, 166,870.32 and 27,007.12

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Solution

The fourth proportional to 111,246.85, 166,870.32 and 27,007.12 is: 40,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,246.85 : 166,870.32 = 27,007.12 : x
  2. Step 2: Convert to fraction form
    111,246.85/166,870.32 = 27,007.12/x
  3. Step 3: Cross multiply
    111,246.85x = 166,870.32 × 27,007.12
  4. Step 4: Simplify right side
    111,246.85x = 4,506,686,339.50
  5. Step 5: Solve for x
    x = 4,506,686,339.50/111,246.85
  6. Step 6: Final answer
    x = 40,510.69

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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.