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Finding the Fourth Proportional to 84,130.31, 116,108.03 and 46,404.56

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Solution

The fourth proportional to 84,130.31, 116,108.03 and 46,404.56 is: 64,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,130.31 : 116,108.03 = 46,404.56 : x
  2. Step 2: Convert to fraction form
    84,130.31/116,108.03 = 46,404.56/x
  3. Step 3: Cross multiply
    84,130.31x = 116,108.03 × 46,404.56
  4. Step 4: Simplify right side
    84,130.31x = 5,387,942,450.90
  5. Step 5: Solve for x
    x = 5,387,942,450.90/84,130.31
  6. Step 6: Final answer
    x = 64,042.82

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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.