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Finding the Fourth Proportional to 56,204, 84,310.86 and 14,651

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Solution

The fourth proportional to 56,204, 84,310.86 and 14,651 is: 21,977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,204 : 84,310.86 = 14,651 : x
  2. Step 2: Convert to fraction form
    56,204/84,310.86 = 14,651/x
  3. Step 3: Cross multiply
    56,204x = 84,310.86 × 14,651
  4. Step 4: Simplify right side
    56,204x = 1,235,238,409.86
  5. Step 5: Solve for x
    x = 1,235,238,409.86/56,204
  6. Step 6: Final answer
    x = 21,977.77

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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.