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Finding the Fourth Proportional to 38,011.34, 57,015.84 and 15,824.16

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Solution

The fourth proportional to 38,011.34, 57,015.84 and 15,824.16 is: 23,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,011.34 : 57,015.84 = 15,824.16 : x
  2. Step 2: Convert to fraction form
    38,011.34/57,015.84 = 15,824.16/x
  3. Step 3: Cross multiply
    38,011.34x = 57,015.84 × 15,824.16
  4. Step 4: Simplify right side
    38,011.34x = 902,227,489.62
  5. Step 5: Solve for x
    x = 902,227,489.62/38,011.34
  6. Step 6: Final answer
    x = 23,735.75

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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.