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Finding the Fourth Proportional to 29,410, 44,104.12 and 9,682.80

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Solution

The fourth proportional to 29,410, 44,104.12 and 9,682.80 is: 14,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,410 : 44,104.12 = 9,682.80 : x
  2. Step 2: Convert to fraction form
    29,410/44,104.12 = 9,682.80/x
  3. Step 3: Cross multiply
    29,410x = 44,104.12 × 9,682.80
  4. Step 4: Simplify right side
    29,410x = 427,051,373.14
  5. Step 5: Solve for x
    x = 427,051,373.14/29,410
  6. Step 6: Final answer
    x = 14,520.62

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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.