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Finding the Fourth Proportional to 57,561.40, 86,342.10 and 16,008.40

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Solution

The fourth proportional to 57,561.40, 86,342.10 and 16,008.40 is: 24,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,561.40 : 86,342.10 = 16,008.40 : x
  2. Step 2: Convert to fraction form
    57,561.40/86,342.10 = 16,008.40/x
  3. Step 3: Cross multiply
    57,561.40x = 86,342.10 × 16,008.40
  4. Step 4: Simplify right side
    57,561.40x = 1,382,198,873.64
  5. Step 5: Solve for x
    x = 1,382,198,873.64/57,561.40
  6. Step 6: Final answer
    x = 24,012.60

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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.