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Finding the Fourth Proportional to 71,433.88, 106,835.46 and 43,276.12

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Solution

The fourth proportional to 71,433.88, 106,835.46 and 43,276.12 is: 64,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,433.88 : 106,835.46 = 43,276.12 : x
  2. Step 2: Convert to fraction form
    71,433.88/106,835.46 = 43,276.12/x
  3. Step 3: Cross multiply
    71,433.88x = 106,835.46 × 43,276.12
  4. Step 4: Simplify right side
    71,433.88x = 4,623,424,187.22
  5. Step 5: Solve for x
    x = 4,623,424,187.22/71,433.88
  6. Step 6: Final answer
    x = 64,723.13

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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.