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Finding the Fourth Proportional to 53,096.82, 79,658.19 and 16,160.82

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Solution

The fourth proportional to 53,096.82, 79,658.19 and 16,160.82 is: 24,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,096.82 : 79,658.19 = 16,160.82 : x
  2. Step 2: Convert to fraction form
    53,096.82/79,658.19 = 16,160.82/x
  3. Step 3: Cross multiply
    53,096.82x = 79,658.19 × 16,160.82
  4. Step 4: Simplify right side
    53,096.82x = 1,287,341,670.12
  5. Step 5: Solve for x
    x = 1,287,341,670.12/53,096.82
  6. Step 6: Final answer
    x = 24,245.17

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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.