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Finding the Fourth Proportional to 71,057.63, 106,571.75 and 26,683.40

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Solution

The fourth proportional to 71,057.63, 106,571.75 and 26,683.40 is: 40,019.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,057.63 : 106,571.75 = 26,683.40 : x
  2. Step 2: Convert to fraction form
    71,057.63/106,571.75 = 26,683.40/x
  3. Step 3: Cross multiply
    71,057.63x = 106,571.75 × 26,683.40
  4. Step 4: Simplify right side
    71,057.63x = 2,843,695,967.67
  5. Step 5: Solve for x
    x = 2,843,695,967.67/71,057.63
  6. Step 6: Final answer
    x = 40,019.58

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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.