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Finding the Fourth Proportional to 30,543.51, 42,149.82 and 17,114.88

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Solution

The fourth proportional to 30,543.51, 42,149.82 and 17,114.88 is: 23,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,543.51 : 42,149.82 = 17,114.88 : x
  2. Step 2: Convert to fraction form
    30,543.51/42,149.82 = 17,114.88/x
  3. Step 3: Cross multiply
    30,543.51x = 42,149.82 × 17,114.88
  4. Step 4: Simplify right side
    30,543.51x = 721,389,111.32
  5. Step 5: Solve for x
    x = 721,389,111.32/30,543.51
  6. Step 6: Final answer
    x = 23,618.41

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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.