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Finding the Fourth Proportional to 114,008.64, 171,012.96 and 30,902.64

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Solution

The fourth proportional to 114,008.64, 171,012.96 and 30,902.64 is: 46,353.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,008.64 : 171,012.96 = 30,902.64 : x
  2. Step 2: Convert to fraction form
    114,008.64/171,012.96 = 30,902.64/x
  3. Step 3: Cross multiply
    114,008.64x = 171,012.96 × 30,902.64
  4. Step 4: Simplify right side
    114,008.64x = 5,284,751,938.21
  5. Step 5: Solve for x
    x = 5,284,751,938.21/114,008.64
  6. Step 6: Final answer
    x = 46,353.96

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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.