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Finding the Fourth Proportional to 84,144.56, 116,111.41 and 46,416.38

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Solution

The fourth proportional to 84,144.56, 116,111.41 and 46,416.38 is: 64,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,144.56 : 116,111.41 = 46,416.38 : x
  2. Step 2: Convert to fraction form
    84,144.56/116,111.41 = 46,416.38/x
  3. Step 3: Cross multiply
    84,144.56x = 116,111.41 × 46,416.38
  4. Step 4: Simplify right side
    84,144.56x = 5,389,470,632.30
  5. Step 5: Solve for x
    x = 5,389,470,632.30/84,144.56
  6. Step 6: Final answer
    x = 64,050.14

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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.