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Finding the Fourth Proportional to 30,300.39, 45,453.68 and 11,596.15

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Solution

The fourth proportional to 30,300.39, 45,453.68 and 11,596.15 is: 17,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,300.39 : 45,453.68 = 11,596.15 : x
  2. Step 2: Convert to fraction form
    30,300.39/45,453.68 = 11,596.15/x
  3. Step 3: Cross multiply
    30,300.39x = 45,453.68 × 11,596.15
  4. Step 4: Simplify right side
    30,300.39x = 527,087,691.33
  5. Step 5: Solve for x
    x = 527,087,691.33/30,300.39
  6. Step 6: Final answer
    x = 17,395.41

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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.