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Finding the Fourth Proportional to 30,296.68, 45,452.31 and 12,771.52

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Solution

The fourth proportional to 30,296.68, 45,452.31 and 12,771.52 is: 19,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,296.68 : 45,452.31 = 12,771.52 : x
  2. Step 2: Convert to fraction form
    30,296.68/45,452.31 = 12,771.52/x
  3. Step 3: Cross multiply
    30,296.68x = 45,452.31 × 12,771.52
  4. Step 4: Simplify right side
    30,296.68x = 580,495,086.21
  5. Step 5: Solve for x
    x = 580,495,086.21/30,296.68
  6. Step 6: Final answer
    x = 19,160.35

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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.