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Finding the Fourth Proportional to 36,460, 50,314.83 and 19,693

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Solution

The fourth proportional to 36,460, 50,314.83 and 19,693 is: 27,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460 : 50,314.83 = 19,693 : x
  2. Step 2: Convert to fraction form
    36,460/50,314.83 = 19,693/x
  3. Step 3: Cross multiply
    36,460x = 50,314.83 × 19,693
  4. Step 4: Simplify right side
    36,460x = 990,849,947.19
  5. Step 5: Solve for x
    x = 990,849,947.19/36,460
  6. Step 6: Final answer
    x = 27,176.36

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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.