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Finding the Fourth Proportional to 41,265, 61,897.50 and 22,797

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Solution

The fourth proportional to 41,265, 61,897.50 and 22,797 is: 34,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,265 : 61,897.50 = 22,797 : x
  2. Step 2: Convert to fraction form
    41,265/61,897.50 = 22,797/x
  3. Step 3: Cross multiply
    41,265x = 61,897.50 × 22,797
  4. Step 4: Simplify right side
    41,265x = 1,411,077,307.50
  5. Step 5: Solve for x
    x = 1,411,077,307.50/41,265
  6. Step 6: Final answer
    x = 34,195.50

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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.