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Finding the Fourth Proportional to 71,897.42, 107,846.41 and 21,977.33

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Solution

The fourth proportional to 71,897.42, 107,846.41 and 21,977.33 is: 32,966.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,897.42 : 107,846.41 = 21,977.33 : x
  2. Step 2: Convert to fraction form
    71,897.42/107,846.41 = 21,977.33/x
  3. Step 3: Cross multiply
    71,897.42x = 107,846.41 × 21,977.33
  4. Step 4: Simplify right side
    71,897.42x = 2,370,175,671.33
  5. Step 5: Solve for x
    x = 2,370,175,671.33/71,897.42
  6. Step 6: Final answer
    x = 32,966.07

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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.