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Finding the Fourth Proportional to 30,543.42, 42,149.55 and 17,114.61

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Solution

The fourth proportional to 30,543.42, 42,149.55 and 17,114.61 is: 23,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.42 : 42,149.55 = 17,114.61 : x
  2. Step 2: Convert to fraction form
    30,543.42/42,149.55 = 17,114.61/x
  3. Step 3: Cross multiply
    30,543.42x = 42,149.55 × 17,114.61
  4. Step 4: Simplify right side
    30,543.42x = 721,373,109.93
  5. Step 5: Solve for x
    x = 721,373,109.93/30,543.42
  6. Step 6: Final answer
    x = 23,617.95

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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.