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Finding the Fourth Proportional to 56,272.56, 84,423.82 and 16,830.06

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Solution

The fourth proportional to 56,272.56, 84,423.82 and 16,830.06 is: 25,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,272.56 : 84,423.82 = 16,830.06 : x
  2. Step 2: Convert to fraction form
    56,272.56/84,423.82 = 16,830.06/x
  3. Step 3: Cross multiply
    56,272.56x = 84,423.82 × 16,830.06
  4. Step 4: Simplify right side
    56,272.56x = 1,420,857,956.03
  5. Step 5: Solve for x
    x = 1,420,857,956.03/56,272.56
  6. Step 6: Final answer
    x = 25,249.57

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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.