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Finding the Fourth Proportional to 114,002.64, 171,003.96 and 30,896.64

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Solution

The fourth proportional to 114,002.64, 171,003.96 and 30,896.64 is: 46,344.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,002.64 : 171,003.96 = 30,896.64 : x
  2. Step 2: Convert to fraction form
    114,002.64/171,003.96 = 30,896.64/x
  3. Step 3: Cross multiply
    114,002.64x = 171,003.96 × 30,896.64
  4. Step 4: Simplify right side
    114,002.64x = 5,283,447,790.69
  5. Step 5: Solve for x
    x = 5,283,447,790.69/114,002.64
  6. Step 6: Final answer
    x = 46,344.96

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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.