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Finding the Fourth Proportional to 34,505, 47,653.04 and 23,777.76

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Solution

The fourth proportional to 34,505, 47,653.04 and 23,777.76 is: 32,838.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,505 : 47,653.04 = 23,777.76 : x
  2. Step 2: Convert to fraction form
    34,505/47,653.04 = 23,777.76/x
  3. Step 3: Cross multiply
    34,505x = 47,653.04 × 23,777.76
  4. Step 4: Simplify right side
    34,505x = 1,133,082,548.39
  5. Step 5: Solve for x
    x = 1,133,082,548.39/34,505
  6. Step 6: Final answer
    x = 32,838.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.