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Finding the Fourth Proportional to 30,542.19, 42,147.69 and 17,113.40

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Solution

The fourth proportional to 30,542.19, 42,147.69 and 17,113.40 is: 23,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.19 : 42,147.69 = 17,113.40 : x
  2. Step 2: Convert to fraction form
    30,542.19/42,147.69 = 17,113.40/x
  3. Step 3: Cross multiply
    30,542.19x = 42,147.69 × 17,113.40
  4. Step 4: Simplify right side
    30,542.19x = 721,290,278.05
  5. Step 5: Solve for x
    x = 721,290,278.05/30,542.19
  6. Step 6: Final answer
    x = 23,616.19

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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.