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Finding the Fourth Proportional to 30,704.94, 46,057.41 and 10,989.14

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Solution

The fourth proportional to 30,704.94, 46,057.41 and 10,989.14 is: 16,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.94 : 46,057.41 = 10,989.14 : x
  2. Step 2: Convert to fraction form
    30,704.94/46,057.41 = 10,989.14/x
  3. Step 3: Cross multiply
    30,704.94x = 46,057.41 × 10,989.14
  4. Step 4: Simplify right side
    30,704.94x = 506,131,096.24
  5. Step 5: Solve for x
    x = 506,131,096.24/30,704.94
  6. Step 6: Final answer
    x = 16,483.70

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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.