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Finding the Fourth Proportional to 27,993, 41,993.82 and 10,465.32

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Solution

The fourth proportional to 27,993, 41,993.82 and 10,465.32 is: 15,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993 : 41,993.82 = 10,465.32 : x
  2. Step 2: Convert to fraction form
    27,993/41,993.82 = 10,465.32/x
  3. Step 3: Cross multiply
    27,993x = 41,993.82 × 10,465.32
  4. Step 4: Simplify right side
    27,993x = 439,478,764.32
  5. Step 5: Solve for x
    x = 439,478,764.32/27,993
  6. Step 6: Final answer
    x = 15,699.60

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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.