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Finding the Fourth Proportional to 30,166.67, 45,265.08 and 13,538.59

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Solution

The fourth proportional to 30,166.67, 45,265.08 and 13,538.59 is: 20,314.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.67 : 45,265.08 = 13,538.59 : x
  2. Step 2: Convert to fraction form
    30,166.67/45,265.08 = 13,538.59/x
  3. Step 3: Cross multiply
    30,166.67x = 45,265.08 × 13,538.59
  4. Step 4: Simplify right side
    30,166.67x = 612,825,359.44
  5. Step 5: Solve for x
    x = 612,825,359.44/30,166.67
  6. Step 6: Final answer
    x = 20,314.65

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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.