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Finding the Fourth Proportional to 114,009.64, 171,014.46 and 30,903.64

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Solution

The fourth proportional to 114,009.64, 171,014.46 and 30,903.64 is: 46,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,009.64 : 171,014.46 = 30,903.64 : x
  2. Step 2: Convert to fraction form
    114,009.64/171,014.46 = 30,903.64/x
  3. Step 3: Cross multiply
    114,009.64x = 171,014.46 × 30,903.64
  4. Step 4: Simplify right side
    114,009.64x = 5,284,969,306.63
  5. Step 5: Solve for x
    x = 5,284,969,306.63/114,009.64
  6. Step 6: Final answer
    x = 46,355.46

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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.