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Finding the Fourth Proportional to 78,346.82, 108,119.88 and 44,354.42

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Solution

The fourth proportional to 78,346.82, 108,119.88 and 44,354.42 is: 61,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,346.82 : 108,119.88 = 44,354.42 : x
  2. Step 2: Convert to fraction form
    78,346.82/108,119.88 = 44,354.42/x
  3. Step 3: Cross multiply
    78,346.82x = 108,119.88 × 44,354.42
  4. Step 4: Simplify right side
    78,346.82x = 4,795,594,567.87
  5. Step 5: Solve for x
    x = 4,795,594,567.87/78,346.82
  6. Step 6: Final answer
    x = 61,209.82

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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.