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Finding the Fourth Proportional to 30,207.86, 45,340.62 and 18,543.86

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Solution

The fourth proportional to 30,207.86, 45,340.62 and 18,543.86 is: 27,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.86 : 45,340.62 = 18,543.86 : x
  2. Step 2: Convert to fraction form
    30,207.86/45,340.62 = 18,543.86/x
  3. Step 3: Cross multiply
    30,207.86x = 45,340.62 × 18,543.86
  4. Step 4: Simplify right side
    30,207.86x = 840,790,109.59
  5. Step 5: Solve for x
    x = 840,790,109.59/30,207.86
  6. Step 6: Final answer
    x = 27,833.49

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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.