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Finding the Fourth Proportional to 53,118.88, 79,675.44 and 16,180

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Solution

The fourth proportional to 53,118.88, 79,675.44 and 16,180 is: 24,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,118.88 : 79,675.44 = 16,180 : x
  2. Step 2: Convert to fraction form
    53,118.88/79,675.44 = 16,180/x
  3. Step 3: Cross multiply
    53,118.88x = 79,675.44 × 16,180
  4. Step 4: Simplify right side
    53,118.88x = 1,289,148,619.20
  5. Step 5: Solve for x
    x = 1,289,148,619.20/53,118.88
  6. Step 6: Final answer
    x = 24,269.12

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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.