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Finding the Fourth Proportional to 82,824, 114,289.92 and 47,015.52

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Solution

The fourth proportional to 82,824, 114,289.92 and 47,015.52 is: 64,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,824 : 114,289.92 = 47,015.52 : x
  2. Step 2: Convert to fraction form
    82,824/114,289.92 = 47,015.52/x
  3. Step 3: Cross multiply
    82,824x = 114,289.92 × 47,015.52
  4. Step 4: Simplify right side
    82,824x = 5,373,400,019.56
  5. Step 5: Solve for x
    x = 5,373,400,019.56/82,824
  6. Step 6: Final answer
    x = 64,877.33

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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.