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Finding the Fourth Proportional to 105,451.30, 145,522.77 and 57,704.63

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Solution

The fourth proportional to 105,451.30, 145,522.77 and 57,704.63 is: 79,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,451.30 : 145,522.77 = 57,704.63 : x
  2. Step 2: Convert to fraction form
    105,451.30/145,522.77 = 57,704.63/x
  3. Step 3: Cross multiply
    105,451.30x = 145,522.77 × 57,704.63
  4. Step 4: Simplify right side
    105,451.30x = 8,397,337,599.43
  5. Step 5: Solve for x
    x = 8,397,337,599.43/105,451.30
  6. Step 6: Final answer
    x = 79,632.38

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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.