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Finding the Fourth Proportional to 30,513.84, 42,110.52 and 17,082.42

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Solution

The fourth proportional to 30,513.84, 42,110.52 and 17,082.42 is: 23,574.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,513.84 : 42,110.52 = 17,082.42 : x
  2. Step 2: Convert to fraction form
    30,513.84/42,110.52 = 17,082.42/x
  3. Step 3: Cross multiply
    30,513.84x = 42,110.52 × 17,082.42
  4. Step 4: Simplify right side
    30,513.84x = 719,349,589.06
  5. Step 5: Solve for x
    x = 719,349,589.06/30,513.84
  6. Step 6: Final answer
    x = 23,574.53

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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.