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Finding the Fourth Proportional to 30,175.98, 45,246.32 and 9,109.70

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Solution

The fourth proportional to 30,175.98, 45,246.32 and 9,109.70 is: 13,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.98 : 45,246.32 = 9,109.70 : x
  2. Step 2: Convert to fraction form
    30,175.98/45,246.32 = 9,109.70/x
  3. Step 3: Cross multiply
    30,175.98x = 45,246.32 × 9,109.70
  4. Step 4: Simplify right side
    30,175.98x = 412,180,401.30
  5. Step 5: Solve for x
    x = 412,180,401.30/30,175.98
  6. Step 6: Final answer
    x = 13,659.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.