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Finding the Fourth Proportional to 34,770.24, 52,164 and 10,146.24

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Solution

The fourth proportional to 34,770.24, 52,164 and 10,146.24 is: 15,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,770.24 : 52,164 = 10,146.24 : x
  2. Step 2: Convert to fraction form
    34,770.24/52,164 = 10,146.24/x
  3. Step 3: Cross multiply
    34,770.24x = 52,164 × 10,146.24
  4. Step 4: Simplify right side
    34,770.24x = 529,268,463.36
  5. Step 5: Solve for x
    x = 529,268,463.36/34,770.24
  6. Step 6: Final answer
    x = 15,221.88

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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.