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Finding the Fourth Proportional to 71,015.42, 106,523.00 and 41,412.50

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Solution

The fourth proportional to 71,015.42, 106,523.00 and 41,412.50 is: 62,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,015.42 : 106,523.00 = 41,412.50 : x
  2. Step 2: Convert to fraction form
    71,015.42/106,523.00 = 41,412.50/x
  3. Step 3: Cross multiply
    71,015.42x = 106,523.00 × 41,412.50
  4. Step 4: Simplify right side
    71,015.42x = 4,411,383,552.58
  5. Step 5: Solve for x
    x = 4,411,383,552.58/71,015.42
  6. Step 6: Final answer
    x = 62,118.67

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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.