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Finding the Fourth Proportional to 84,361.98, 116,419.50 and 46,121.67

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Solution

The fourth proportional to 84,361.98, 116,419.50 and 46,121.67 is: 63,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,361.98 : 116,419.50 = 46,121.67 : x
  2. Step 2: Convert to fraction form
    84,361.98/116,419.50 = 46,121.67/x
  3. Step 3: Cross multiply
    84,361.98x = 116,419.50 × 46,121.67
  4. Step 4: Simplify right side
    84,361.98x = 5,369,461,760.57
  5. Step 5: Solve for x
    x = 5,369,461,760.57/84,361.98
  6. Step 6: Final answer
    x = 63,647.89

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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.