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Finding the Fourth Proportional to 57,776.14, 86,678.79 and 16,223.14

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Solution

The fourth proportional to 57,776.14, 86,678.79 and 16,223.14 is: 24,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776.14 : 86,678.79 = 16,223.14 : x
  2. Step 2: Convert to fraction form
    57,776.14/86,678.79 = 16,223.14/x
  3. Step 3: Cross multiply
    57,776.14x = 86,678.79 × 16,223.14
  4. Step 4: Simplify right side
    57,776.14x = 1,406,202,145.20
  5. Step 5: Solve for x
    x = 1,406,202,145.20/57,776.14
  6. Step 6: Final answer
    x = 24,338.80

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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.