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Finding the Fourth Proportional to 84,721.36, 116,916.38 and 46,480.99

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Solution

The fourth proportional to 84,721.36, 116,916.38 and 46,480.99 is: 64,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,721.36 : 116,916.38 = 46,480.99 : x
  2. Step 2: Convert to fraction form
    84,721.36/116,916.38 = 46,480.99/x
  3. Step 3: Cross multiply
    84,721.36x = 116,916.38 × 46,480.99
  4. Step 4: Simplify right side
    84,721.36x = 5,434,389,089.62
  5. Step 5: Solve for x
    x = 5,434,389,089.62/84,721.36
  6. Step 6: Final answer
    x = 64,144.26

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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.