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Finding the Fourth Proportional to 34,892.88, 52,361.52 and 12,704.16

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Solution

The fourth proportional to 34,892.88, 52,361.52 and 12,704.16 is: 19,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,892.88 : 52,361.52 = 12,704.16 : x
  2. Step 2: Convert to fraction form
    34,892.88/52,361.52 = 12,704.16/x
  3. Step 3: Cross multiply
    34,892.88x = 52,361.52 × 12,704.16
  4. Step 4: Simplify right side
    34,892.88x = 665,209,127.92
  5. Step 5: Solve for x
    x = 665,209,127.92/34,892.88
  6. Step 6: Final answer
    x = 19,064.32

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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.