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Finding the Fourth Proportional to 35,480.82, 48,963.38 and 19,565.54

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Solution

The fourth proportional to 35,480.82, 48,963.38 and 19,565.54 is: 27,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,480.82 : 48,963.38 = 19,565.54 : x
  2. Step 2: Convert to fraction form
    35,480.82/48,963.38 = 19,565.54/x
  3. Step 3: Cross multiply
    35,480.82x = 48,963.38 × 19,565.54
  4. Step 4: Simplify right side
    35,480.82x = 957,994,627.28
  5. Step 5: Solve for x
    x = 957,994,627.28/35,480.82
  6. Step 6: Final answer
    x = 27,000.35

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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.