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Finding the Fourth Proportional to 84,338.46, 116,482.72 and 57,434.24

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Solution

The fourth proportional to 84,338.46, 116,482.72 and 57,434.24 is: 79,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,338.46 : 116,482.72 = 57,434.24 : x
  2. Step 2: Convert to fraction form
    84,338.46/116,482.72 = 57,434.24/x
  3. Step 3: Cross multiply
    84,338.46x = 116,482.72 × 57,434.24
  4. Step 4: Simplify right side
    84,338.46x = 6,690,096,496.33
  5. Step 5: Solve for x
    x = 6,690,096,496.33/84,338.46
  6. Step 6: Final answer
    x = 79,324.39

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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.