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Finding the Fourth Proportional to 30,140.75, 45,211.13 and 11,672.75

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Solution

The fourth proportional to 30,140.75, 45,211.13 and 11,672.75 is: 17,509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140.75 : 45,211.13 = 11,672.75 : x
  2. Step 2: Convert to fraction form
    30,140.75/45,211.13 = 11,672.75/x
  3. Step 3: Cross multiply
    30,140.75x = 45,211.13 × 11,672.75
  4. Step 4: Simplify right side
    30,140.75x = 527,738,159.34
  5. Step 5: Solve for x
    x = 527,738,159.34/30,140.75
  6. Step 6: Final answer
    x = 17,509.13

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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.