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Finding the Fourth Proportional to 71,475.96, 107,223.54 and 27,119.16

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Solution

The fourth proportional to 71,475.96, 107,223.54 and 27,119.16 is: 40,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475.96 : 107,223.54 = 27,119.16 : x
  2. Step 2: Convert to fraction form
    71,475.96/107,223.54 = 27,119.16/x
  3. Step 3: Cross multiply
    71,475.96x = 107,223.54 × 27,119.16
  4. Step 4: Simplify right side
    71,475.96x = 2,907,812,337.03
  5. Step 5: Solve for x
    x = 2,907,812,337.03/71,475.96
  6. Step 6: Final answer
    x = 40,682.38

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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.