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Finding the Fourth Proportional to 111,903.10, 167,860.23 and 31,952.93

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Solution

The fourth proportional to 111,903.10, 167,860.23 and 31,952.93 is: 47,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,903.10 : 167,860.23 = 31,952.93 : x
  2. Step 2: Convert to fraction form
    111,903.10/167,860.23 = 31,952.93/x
  3. Step 3: Cross multiply
    111,903.10x = 167,860.23 × 31,952.93
  4. Step 4: Simplify right side
    111,903.10x = 5,363,625,219.85
  5. Step 5: Solve for x
    x = 5,363,625,219.85/111,903.10
  6. Step 6: Final answer
    x = 47,930.98

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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.