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Finding the Fourth Proportional to 29,418.96, 44,133.90 and 9,698.91

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Solution

The fourth proportional to 29,418.96, 44,133.90 and 9,698.91 is: 14,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,418.96 : 44,133.90 = 9,698.91 : x
  2. Step 2: Convert to fraction form
    29,418.96/44,133.90 = 9,698.91/x
  3. Step 3: Cross multiply
    29,418.96x = 44,133.90 × 9,698.91
  4. Step 4: Simplify right side
    29,418.96x = 428,050,724.05
  5. Step 5: Solve for x
    x = 428,050,724.05/29,418.96
  6. Step 6: Final answer
    x = 14,550.17

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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.