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Finding the Fourth Proportional to 30,196.80, 45,273.60 and 13,543.20

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Solution

The fourth proportional to 30,196.80, 45,273.60 and 13,543.20 is: 20,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.80 : 45,273.60 = 13,543.20 : x
  2. Step 2: Convert to fraction form
    30,196.80/45,273.60 = 13,543.20/x
  3. Step 3: Cross multiply
    30,196.80x = 45,273.60 × 13,543.20
  4. Step 4: Simplify right side
    30,196.80x = 613,149,419.52
  5. Step 5: Solve for x
    x = 613,149,419.52/30,196.80
  6. Step 6: Final answer
    x = 20,305.11

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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.