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Finding the Fourth Proportional to 55,949.70, 83,923.74 and 13,829.80

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Solution

The fourth proportional to 55,949.70, 83,923.74 and 13,829.80 is: 20,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,949.70 : 83,923.74 = 13,829.80 : x
  2. Step 2: Convert to fraction form
    55,949.70/83,923.74 = 13,829.80/x
  3. Step 3: Cross multiply
    55,949.70x = 83,923.74 × 13,829.80
  4. Step 4: Simplify right side
    55,949.70x = 1,160,648,539.45
  5. Step 5: Solve for x
    x = 1,160,648,539.45/55,949.70
  6. Step 6: Final answer
    x = 20,744.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.