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Finding the Fourth Proportional to 80,394.12, 110,942.16 and 46,399.94

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Solution

The fourth proportional to 80,394.12, 110,942.16 and 46,399.94 is: 64,030.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,394.12 : 110,942.16 = 46,399.94 : x
  2. Step 2: Convert to fraction form
    80,394.12/110,942.16 = 46,399.94/x
  3. Step 3: Cross multiply
    80,394.12x = 110,942.16 × 46,399.94
  4. Step 4: Simplify right side
    80,394.12x = 5,147,709,567.47
  5. Step 5: Solve for x
    x = 5,147,709,567.47/80,394.12
  6. Step 6: Final answer
    x = 64,030.92

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Why These Related Problems?

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