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Finding the Fourth Proportional to 84,197.56, 116,191.89 and 46,471

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Solution

The fourth proportional to 84,197.56, 116,191.89 and 46,471 is: 64,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,197.56 : 116,191.89 = 46,471 : x
  2. Step 2: Convert to fraction form
    84,197.56/116,191.89 = 46,471/x
  3. Step 3: Cross multiply
    84,197.56x = 116,191.89 × 46,471
  4. Step 4: Simplify right side
    84,197.56x = 5,399,553,320.19
  5. Step 5: Solve for x
    x = 5,399,553,320.19/84,197.56
  6. Step 6: Final answer
    x = 64,129.57

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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.