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Finding the Fourth Proportional to 30,543.61, 42,149.68 and 17,114.83

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Solution

The fourth proportional to 30,543.61, 42,149.68 and 17,114.83 is: 23,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.61 : 42,149.68 = 17,114.83 : x
  2. Step 2: Convert to fraction form
    30,543.61/42,149.68 = 17,114.83/x
  3. Step 3: Cross multiply
    30,543.61x = 42,149.68 × 17,114.83
  4. Step 4: Simplify right side
    30,543.61x = 721,384,607.75
  5. Step 5: Solve for x
    x = 721,384,607.75/30,543.61
  6. Step 6: Final answer
    x = 23,618.18

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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.