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Finding the Fourth Proportional to 84,134.18, 116,107.35 and 45,894.38

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Solution

The fourth proportional to 84,134.18, 116,107.35 and 45,894.38 is: 63,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,134.18 : 116,107.35 = 45,894.38 : x
  2. Step 2: Convert to fraction form
    84,134.18/116,107.35 = 45,894.38/x
  3. Step 3: Cross multiply
    84,134.18x = 116,107.35 × 45,894.38
  4. Step 4: Simplify right side
    84,134.18x = 5,328,674,261.16
  5. Step 5: Solve for x
    x = 5,328,674,261.16/84,134.18
  6. Step 6: Final answer
    x = 63,335.43

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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.