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Finding the Fourth Proportional to 84,295.44, 116,317.80 and 46,567.44

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Solution

The fourth proportional to 84,295.44, 116,317.80 and 46,567.44 is: 64,257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,295.44 : 116,317.80 = 46,567.44 : x
  2. Step 2: Convert to fraction form
    84,295.44/116,317.80 = 46,567.44/x
  3. Step 3: Cross multiply
    84,295.44x = 116,317.80 × 46,567.44
  4. Step 4: Simplify right side
    84,295.44x = 5,416,622,172.43
  5. Step 5: Solve for x
    x = 5,416,622,172.43/84,295.44
  6. Step 6: Final answer
    x = 64,257.59

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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.