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Finding the Fourth Proportional to 82,828.90, 114,305.25 and 47,019.97

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Solution

The fourth proportional to 82,828.90, 114,305.25 and 47,019.97 is: 64,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,828.90 : 114,305.25 = 47,019.97 : x
  2. Step 2: Convert to fraction form
    82,828.90/114,305.25 = 47,019.97/x
  3. Step 3: Cross multiply
    82,828.90x = 114,305.25 × 47,019.97
  4. Step 4: Simplify right side
    82,828.90x = 5,374,629,425.84
  5. Step 5: Solve for x
    x = 5,374,629,425.84/82,828.90
  6. Step 6: Final answer
    x = 64,888.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.