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Finding the Fourth Proportional to 35,305.74, 48,716.64 and 20,196

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Solution

The fourth proportional to 35,305.74, 48,716.64 and 20,196 is: 27,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,305.74 : 48,716.64 = 20,196 : x
  2. Step 2: Convert to fraction form
    35,305.74/48,716.64 = 20,196/x
  3. Step 3: Cross multiply
    35,305.74x = 48,716.64 × 20,196
  4. Step 4: Simplify right side
    35,305.74x = 983,881,261.44
  5. Step 5: Solve for x
    x = 983,881,261.44/35,305.74
  6. Step 6: Final answer
    x = 27,867.46

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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.