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Finding the Fourth Proportional to 82,145.69, 113,356.34 and 46,333.57

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Solution

The fourth proportional to 82,145.69, 113,356.34 and 46,333.57 is: 63,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,145.69 : 113,356.34 = 46,333.57 : x
  2. Step 2: Convert to fraction form
    82,145.69/113,356.34 = 46,333.57/x
  3. Step 3: Cross multiply
    82,145.69x = 113,356.34 × 46,333.57
  4. Step 4: Simplify right side
    82,145.69x = 5,252,203,115.88
  5. Step 5: Solve for x
    x = 5,252,203,115.88/82,145.69
  6. Step 6: Final answer
    x = 63,937.66

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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.