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Finding the Fourth Proportional to 113,990.98, 170,986.44 and 30,884.98

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Solution

The fourth proportional to 113,990.98, 170,986.44 and 30,884.98 is: 46,327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,990.98 : 170,986.44 = 30,884.98 : x
  2. Step 2: Convert to fraction form
    113,990.98/170,986.44 = 30,884.98/x
  3. Step 3: Cross multiply
    113,990.98x = 170,986.44 × 30,884.98
  4. Step 4: Simplify right side
    113,990.98x = 5,280,912,779.67
  5. Step 5: Solve for x
    x = 5,280,912,779.67/113,990.98
  6. Step 6: Final answer
    x = 46,327.46

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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.