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Finding the Fourth Proportional to 53,852.50, 80,782.73 and 16,415.78

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Solution

The fourth proportional to 53,852.50, 80,782.73 and 16,415.78 is: 24,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,852.50 : 80,782.73 = 16,415.78 : x
  2. Step 2: Convert to fraction form
    53,852.50/80,782.73 = 16,415.78/x
  3. Step 3: Cross multiply
    53,852.50x = 80,782.73 × 16,415.78
  4. Step 4: Simplify right side
    53,852.50x = 1,326,111,523.48
  5. Step 5: Solve for x
    x = 1,326,111,523.48/53,852.50
  6. Step 6: Final answer
    x = 24,624.88

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