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Finding the Fourth Proportional to 83,970.96, 115,879.41 and 46,244.94

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Solution

The fourth proportional to 83,970.96, 115,879.41 and 46,244.94 is: 63,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,970.96 : 115,879.41 = 46,244.94 : x
  2. Step 2: Convert to fraction form
    83,970.96/115,879.41 = 46,244.94/x
  3. Step 3: Cross multiply
    83,970.96x = 115,879.41 × 46,244.94
  4. Step 4: Simplify right side
    83,970.96x = 5,358,836,362.69
  5. Step 5: Solve for x
    x = 5,358,836,362.69/83,970.96
  6. Step 6: Final answer
    x = 63,817.73

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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.