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Finding the Fourth Proportional to 29,396.76, 44,101.44 and 9,674.52

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Solution

The fourth proportional to 29,396.76, 44,101.44 and 9,674.52 is: 14,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,396.76 : 44,101.44 = 9,674.52 : x
  2. Step 2: Convert to fraction form
    29,396.76/44,101.44 = 9,674.52/x
  3. Step 3: Cross multiply
    29,396.76x = 44,101.44 × 9,674.52
  4. Step 4: Simplify right side
    29,396.76x = 426,660,263.31
  5. Step 5: Solve for x
    x = 426,660,263.31/29,396.76
  6. Step 6: Final answer
    x = 14,513.85

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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.