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Finding the Fourth Proportional to 84,393.96, 116,463.36 and 46,668.21

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Solution

The fourth proportional to 84,393.96, 116,463.36 and 46,668.21 is: 64,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,393.96 : 116,463.36 = 46,668.21 : x
  2. Step 2: Convert to fraction form
    84,393.96/116,463.36 = 46,668.21/x
  3. Step 3: Cross multiply
    84,393.96x = 116,463.36 × 46,668.21
  4. Step 4: Simplify right side
    84,393.96x = 5,435,136,541.79
  5. Step 5: Solve for x
    x = 5,435,136,541.79/84,393.96
  6. Step 6: Final answer
    x = 64,401.96

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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.