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Finding the Fourth Proportional to 57,795, 86,692.50 and 16,242

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Solution

The fourth proportional to 57,795, 86,692.50 and 16,242 is: 24,363

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,795 : 86,692.50 = 16,242 : x
  2. Step 2: Convert to fraction form
    57,795/86,692.50 = 16,242/x
  3. Step 3: Cross multiply
    57,795x = 86,692.50 × 16,242
  4. Step 4: Simplify right side
    57,795x = 1,408,059,585
  5. Step 5: Solve for x
    x = 1,408,059,585/57,795
  6. Step 6: Final answer
    x = 24,363

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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.