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Finding the Fourth Proportional to 30,180.99, 45,279.33 and 11,461.13

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Solution

The fourth proportional to 30,180.99, 45,279.33 and 11,461.13 is: 17,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,180.99 : 45,279.33 = 11,461.13 : x
  2. Step 2: Convert to fraction form
    30,180.99/45,279.33 = 11,461.13/x
  3. Step 3: Cross multiply
    30,180.99x = 45,279.33 × 11,461.13
  4. Step 4: Simplify right side
    30,180.99x = 518,952,061.05
  5. Step 5: Solve for x
    x = 518,952,061.05/30,180.99
  6. Step 6: Final answer
    x = 17,194.67

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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.