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Finding the Fourth Proportional to 30,209.70, 45,296.55 and 18,531.30

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Solution

The fourth proportional to 30,209.70, 45,296.55 and 18,531.30 is: 27,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,209.70 : 45,296.55 = 18,531.30 : x
  2. Step 2: Convert to fraction form
    30,209.70/45,296.55 = 18,531.30/x
  3. Step 3: Cross multiply
    30,209.70x = 45,296.55 × 18,531.30
  4. Step 4: Simplify right side
    30,209.70x = 839,403,957.02
  5. Step 5: Solve for x
    x = 839,403,957.02/30,209.70
  6. Step 6: Final answer
    x = 27,785.91

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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.