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Finding the Fourth Proportional to 71,161.95, 106,739.27 and 21,242.46

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Solution

The fourth proportional to 71,161.95, 106,739.27 and 21,242.46 is: 31,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,161.95 : 106,739.27 = 21,242.46 : x
  2. Step 2: Convert to fraction form
    71,161.95/106,739.27 = 21,242.46/x
  3. Step 3: Cross multiply
    71,161.95x = 106,739.27 × 21,242.46
  4. Step 4: Simplify right side
    71,161.95x = 2,267,405,047.12
  5. Step 5: Solve for x
    x = 2,267,405,047.12/71,161.95
  6. Step 6: Final answer
    x = 31,862.60

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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.