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Finding the Fourth Proportional to 30,543.40, 42,149.62 and 17,114.77

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Solution

The fourth proportional to 30,543.40, 42,149.62 and 17,114.77 is: 23,618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.40 : 42,149.62 = 17,114.77 : x
  2. Step 2: Convert to fraction form
    30,543.40/42,149.62 = 17,114.77/x
  3. Step 3: Cross multiply
    30,543.40x = 42,149.62 × 17,114.77
  4. Step 4: Simplify right side
    30,543.40x = 721,381,051.89
  5. Step 5: Solve for x
    x = 721,381,051.89/30,543.40
  6. Step 6: Final answer
    x = 23,618.23

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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.