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Finding the Fourth Proportional to 51,593, 77,394 and 14,657

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Solution

The fourth proportional to 51,593, 77,394 and 14,657 is: 21,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,593 : 77,394 = 14,657 : x
  2. Step 2: Convert to fraction form
    51,593/77,394 = 14,657/x
  3. Step 3: Cross multiply
    51,593x = 77,394 × 14,657
  4. Step 4: Simplify right side
    51,593x = 1,134,363,858
  5. Step 5: Solve for x
    x = 1,134,363,858/51,593
  6. Step 6: Final answer
    x = 21,986.78

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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.