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Finding the Fourth Proportional to 55,764.09, 83,648.46 and 16,321.21

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Solution

The fourth proportional to 55,764.09, 83,648.46 and 16,321.21 is: 24,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,764.09 : 83,648.46 = 16,321.21 : x
  2. Step 2: Convert to fraction form
    55,764.09/83,648.46 = 16,321.21/x
  3. Step 3: Cross multiply
    55,764.09x = 83,648.46 × 16,321.21
  4. Step 4: Simplify right side
    55,764.09x = 1,365,244,081.84
  5. Step 5: Solve for x
    x = 1,365,244,081.84/55,764.09
  6. Step 6: Final answer
    x = 24,482.50

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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.