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Finding the Fourth Proportional to 51,729, 77,593.50 and 14,795.88

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Solution

The fourth proportional to 51,729, 77,593.50 and 14,795.88 is: 22,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,729 : 77,593.50 = 14,795.88 : x
  2. Step 2: Convert to fraction form
    51,729/77,593.50 = 14,795.88/x
  3. Step 3: Cross multiply
    51,729x = 77,593.50 × 14,795.88
  4. Step 4: Simplify right side
    51,729x = 1,148,064,114.78
  5. Step 5: Solve for x
    x = 1,148,064,114.78/51,729
  6. Step 6: Final answer
    x = 22,193.82

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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.