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Finding the Fourth Proportional to 84,751.92, 116,961.03 and 46,512.81

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Solution

The fourth proportional to 84,751.92, 116,961.03 and 46,512.81 is: 64,189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,751.92 : 116,961.03 = 46,512.81 : x
  2. Step 2: Convert to fraction form
    84,751.92/116,961.03 = 46,512.81/x
  3. Step 3: Cross multiply
    84,751.92x = 116,961.03 × 46,512.81
  4. Step 4: Simplify right side
    84,751.92x = 5,440,186,165.79
  5. Step 5: Solve for x
    x = 5,440,186,165.79/84,751.92
  6. Step 6: Final answer
    x = 64,189.53

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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.