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Finding the Fourth Proportional to 57,782.50, 86,673.77 and 16,229.50

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Solution

The fourth proportional to 57,782.50, 86,673.77 and 16,229.50 is: 24,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.50 : 86,673.77 = 16,229.50 : x
  2. Step 2: Convert to fraction form
    57,782.50/86,673.77 = 16,229.50/x
  3. Step 3: Cross multiply
    57,782.50x = 86,673.77 × 16,229.50
  4. Step 4: Simplify right side
    57,782.50x = 1,406,671,950.22
  5. Step 5: Solve for x
    x = 1,406,671,950.22/57,782.50
  6. Step 6: Final answer
    x = 24,344.26

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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.