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Finding the Fourth Proportional to 84,270.72, 116,294.40 and 46,544.16

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Solution

The fourth proportional to 84,270.72, 116,294.40 and 46,544.16 is: 64,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,270.72 : 116,294.40 = 46,544.16 : x
  2. Step 2: Convert to fraction form
    84,270.72/116,294.40 = 46,544.16/x
  3. Step 3: Cross multiply
    84,270.72x = 116,294.40 × 46,544.16
  4. Step 4: Simplify right side
    84,270.72x = 5,412,825,160.70
  5. Step 5: Solve for x
    x = 5,412,825,160.70/84,270.72
  6. Step 6: Final answer
    x = 64,231.39

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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.