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Finding the Fourth Proportional to 30,961.86, 46,442.27 and 9,901.67

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Solution

The fourth proportional to 30,961.86, 46,442.27 and 9,901.67 is: 14,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.86 : 46,442.27 = 9,901.67 : x
  2. Step 2: Convert to fraction form
    30,961.86/46,442.27 = 9,901.67/x
  3. Step 3: Cross multiply
    30,961.86x = 46,442.27 × 9,901.67
  4. Step 4: Simplify right side
    30,961.86x = 459,855,749.87
  5. Step 5: Solve for x
    x = 459,855,749.87/30,961.86
  6. Step 6: Final answer
    x = 14,852.33

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1.5x scale

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.