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Finding the Fourth Proportional to 53,081.96, 79,634.46 and 16,145

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Solution

The fourth proportional to 53,081.96, 79,634.46 and 16,145 is: 24,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,081.96 : 79,634.46 = 16,145 : x
  2. Step 2: Convert to fraction form
    53,081.96/79,634.46 = 16,145/x
  3. Step 3: Cross multiply
    53,081.96x = 79,634.46 × 16,145
  4. Step 4: Simplify right side
    53,081.96x = 1,285,698,356.70
  5. Step 5: Solve for x
    x = 1,285,698,356.70/53,081.96
  6. Step 6: Final answer
    x = 24,221.00

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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.