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Finding the Fourth Proportional to 30,950.37, 46,427.54 and 8,765.50

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Solution

The fourth proportional to 30,950.37, 46,427.54 and 8,765.50 is: 13,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.37 : 46,427.54 = 8,765.50 : x
  2. Step 2: Convert to fraction form
    30,950.37/46,427.54 = 8,765.50/x
  3. Step 3: Cross multiply
    30,950.37x = 46,427.54 × 8,765.50
  4. Step 4: Simplify right side
    30,950.37x = 406,960,601.87
  5. Step 5: Solve for x
    x = 406,960,601.87/30,950.37
  6. Step 6: Final answer
    x = 13,148.81

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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.