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Finding the Fourth Proportional to 89,265, 133,897.56 and 33,861

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Solution

The fourth proportional to 89,265, 133,897.56 and 33,861 is: 50,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,265 : 133,897.56 = 33,861 : x
  2. Step 2: Convert to fraction form
    89,265/133,897.56 = 33,861/x
  3. Step 3: Cross multiply
    89,265x = 133,897.56 × 33,861
  4. Step 4: Simplify right side
    89,265x = 4,533,905,279.16
  5. Step 5: Solve for x
    x = 4,533,905,279.16/89,265
  6. Step 6: Final answer
    x = 50,791.52

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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.