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Finding the Fourth Proportional to 82,142.15, 113,354.12 and 46,329.33

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Solution

The fourth proportional to 82,142.15, 113,354.12 and 46,329.33 is: 63,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,142.15 : 113,354.12 = 46,329.33 : x
  2. Step 2: Convert to fraction form
    82,142.15/113,354.12 = 46,329.33/x
  3. Step 3: Cross multiply
    82,142.15x = 113,354.12 × 46,329.33
  4. Step 4: Simplify right side
    82,142.15x = 5,251,620,200.69
  5. Step 5: Solve for x
    x = 5,251,620,200.69/82,142.15
  6. Step 6: Final answer
    x = 63,933.32

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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.