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Finding the Fourth Proportional to 84,750, 116,954.91 and 46,509.77

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Solution

The fourth proportional to 84,750, 116,954.91 and 46,509.77 is: 64,183.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,750 : 116,954.91 = 46,509.77 : x
  2. Step 2: Convert to fraction form
    84,750/116,954.91 = 46,509.77/x
  3. Step 3: Cross multiply
    84,750x = 116,954.91 × 46,509.77
  4. Step 4: Simplify right side
    84,750x = 5,439,545,379.70
  5. Step 5: Solve for x
    x = 5,439,545,379.70/84,750
  6. Step 6: Final answer
    x = 64,183.43

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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.