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Finding the Fourth Proportional to 71,208.18, 106,825.14 and 23,818.80

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Solution

The fourth proportional to 71,208.18, 106,825.14 and 23,818.80 is: 35,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208.18 : 106,825.14 = 23,818.80 : x
  2. Step 2: Convert to fraction form
    71,208.18/106,825.14 = 23,818.80/x
  3. Step 3: Cross multiply
    71,208.18x = 106,825.14 × 23,818.80
  4. Step 4: Simplify right side
    71,208.18x = 2,544,446,644.63
  5. Step 5: Solve for x
    x = 2,544,446,644.63/71,208.18
  6. Step 6: Final answer
    x = 35,732.50

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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.