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Finding the Fourth Proportional to 52,101.90, 71,897.22 and 33,237

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Solution

The fourth proportional to 52,101.90, 71,897.22 and 33,237 is: 45,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,101.90 : 71,897.22 = 33,237 : x
  2. Step 2: Convert to fraction form
    52,101.90/71,897.22 = 33,237/x
  3. Step 3: Cross multiply
    52,101.90x = 71,897.22 × 33,237
  4. Step 4: Simplify right side
    52,101.90x = 2,389,647,901.14
  5. Step 5: Solve for x
    x = 2,389,647,901.14/52,101.90
  6. Step 6: Final answer
    x = 45,864.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.