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Finding the Fourth Proportional to 52,883.80, 79,329.30 and 16,857.40

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Solution

The fourth proportional to 52,883.80, 79,329.30 and 16,857.40 is: 25,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,883.80 : 79,329.30 = 16,857.40 : x
  2. Step 2: Convert to fraction form
    52,883.80/79,329.30 = 16,857.40/x
  3. Step 3: Cross multiply
    52,883.80x = 79,329.30 × 16,857.40
  4. Step 4: Simplify right side
    52,883.80x = 1,337,285,741.82
  5. Step 5: Solve for x
    x = 1,337,285,741.82/52,883.80
  6. Step 6: Final answer
    x = 25,287.25

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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.