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Finding the Fourth Proportional to 36,295, 54,442.50 and 11,671

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Solution

The fourth proportional to 36,295, 54,442.50 and 11,671 is: 17,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,295 : 54,442.50 = 11,671 : x
  2. Step 2: Convert to fraction form
    36,295/54,442.50 = 11,671/x
  3. Step 3: Cross multiply
    36,295x = 54,442.50 × 11,671
  4. Step 4: Simplify right side
    36,295x = 635,398,417.50
  5. Step 5: Solve for x
    x = 635,398,417.50/36,295
  6. Step 6: Final answer
    x = 17,506.50

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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.