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Finding the Fourth Proportional to 50,698.22, 76,051.68 and 13,258.23

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Solution

The fourth proportional to 50,698.22, 76,051.68 and 13,258.23 is: 19,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.22 : 76,051.68 = 13,258.23 : x
  2. Step 2: Convert to fraction form
    50,698.22/76,051.68 = 13,258.23/x
  3. Step 3: Cross multiply
    50,698.22x = 76,051.68 × 13,258.23
  4. Step 4: Simplify right side
    50,698.22x = 1,008,310,665.33
  5. Step 5: Solve for x
    x = 1,008,310,665.33/50,698.22
  6. Step 6: Final answer
    x = 19,888.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.