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Finding the Fourth Proportional to 30,093.66, 45,145.76 and 13,453.56

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Solution

The fourth proportional to 30,093.66, 45,145.76 and 13,453.56 is: 20,182.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,093.66 : 45,145.76 = 13,453.56 : x
  2. Step 2: Convert to fraction form
    30,093.66/45,145.76 = 13,453.56/x
  3. Step 3: Cross multiply
    30,093.66x = 45,145.76 × 13,453.56
  4. Step 4: Simplify right side
    30,093.66x = 607,371,123.64
  5. Step 5: Solve for x
    x = 607,371,123.64/30,093.66
  6. Step 6: Final answer
    x = 20,182.69

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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.