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Finding the Fourth Proportional to 30,681.24, 42,339.90 and 17,433.24

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Solution

The fourth proportional to 30,681.24, 42,339.90 and 17,433.24 is: 24,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.24 : 42,339.90 = 17,433.24 : x
  2. Step 2: Convert to fraction form
    30,681.24/42,339.90 = 17,433.24/x
  3. Step 3: Cross multiply
    30,681.24x = 42,339.90 × 17,433.24
  4. Step 4: Simplify right side
    30,681.24x = 738,121,638.28
  5. Step 5: Solve for x
    x = 738,121,638.28/30,681.24
  6. Step 6: Final answer
    x = 24,057.75

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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.