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Finding the Fourth Proportional to 53,169.64, 79,745.82 and 16,225

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Solution

The fourth proportional to 53,169.64, 79,745.82 and 16,225 is: 24,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,169.64 : 79,745.82 = 16,225 : x
  2. Step 2: Convert to fraction form
    53,169.64/79,745.82 = 16,225/x
  3. Step 3: Cross multiply
    53,169.64x = 79,745.82 × 16,225
  4. Step 4: Simplify right side
    53,169.64x = 1,293,875,929.50
  5. Step 5: Solve for x
    x = 1,293,875,929.50/53,169.64
  6. Step 6: Final answer
    x = 24,334.86

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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.