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Finding the Fourth Proportional to 84,615.76, 116,770.44 and 46,890.64

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Solution

The fourth proportional to 84,615.76, 116,770.44 and 46,890.64 is: 64,709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,615.76 : 116,770.44 = 46,890.64 : x
  2. Step 2: Convert to fraction form
    84,615.76/116,770.44 = 46,890.64/x
  3. Step 3: Cross multiply
    84,615.76x = 116,770.44 × 46,890.64
  4. Step 4: Simplify right side
    84,615.76x = 5,475,440,664.68
  5. Step 5: Solve for x
    x = 5,475,440,664.68/84,615.76
  6. Step 6: Final answer
    x = 64,709.47

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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.