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Finding the Fourth Proportional to 30,626.96, 45,911.27 and 9,835.88

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Solution

The fourth proportional to 30,626.96, 45,911.27 and 9,835.88 is: 14,744.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,626.96 : 45,911.27 = 9,835.88 : x
  2. Step 2: Convert to fraction form
    30,626.96/45,911.27 = 9,835.88/x
  3. Step 3: Cross multiply
    30,626.96x = 45,911.27 × 9,835.88
  4. Step 4: Simplify right side
    30,626.96x = 451,577,537.40
  5. Step 5: Solve for x
    x = 451,577,537.40/30,626.96
  6. Step 6: Final answer
    x = 14,744.45

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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.