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Finding the Fourth Proportional to 29,457.80, 44,138.10 and 14,634.80

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Solution

The fourth proportional to 29,457.80, 44,138.10 and 14,634.80 is: 21,928.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,457.80 : 44,138.10 = 14,634.80 : x
  2. Step 2: Convert to fraction form
    29,457.80/44,138.10 = 14,634.80/x
  3. Step 3: Cross multiply
    29,457.80x = 44,138.10 × 14,634.80
  4. Step 4: Simplify right side
    29,457.80x = 645,952,265.88
  5. Step 5: Solve for x
    x = 645,952,265.88/29,457.80
  6. Step 6: Final answer
    x = 21,928.06

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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.