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Finding the Fourth Proportional to 30,099.80, 41,542.47 and 18,164.86

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Solution

The fourth proportional to 30,099.80, 41,542.47 and 18,164.86 is: 25,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,099.80 : 41,542.47 = 18,164.86 : x
  2. Step 2: Convert to fraction form
    30,099.80/41,542.47 = 18,164.86/x
  3. Step 3: Cross multiply
    30,099.80x = 41,542.47 × 18,164.86
  4. Step 4: Simplify right side
    30,099.80x = 754,613,047.75
  5. Step 5: Solve for x
    x = 754,613,047.75/30,099.80
  6. Step 6: Final answer
    x = 25,070.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.