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Finding the Fourth Proportional to 29,697.21, 44,536.50 and 9,702.14

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Solution

The fourth proportional to 29,697.21, 44,536.50 and 9,702.14 is: 14,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,697.21 : 44,536.50 = 9,702.14 : x
  2. Step 2: Convert to fraction form
    29,697.21/44,536.50 = 9,702.14/x
  3. Step 3: Cross multiply
    29,697.21x = 44,536.50 × 9,702.14
  4. Step 4: Simplify right side
    29,697.21x = 432,099,469.45
  5. Step 5: Solve for x
    x = 432,099,469.45/29,697.21
  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.