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Finding the Fourth Proportional to 30,849.42, 42,572.07 and 17,420.52

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Solution

The fourth proportional to 30,849.42, 42,572.07 and 17,420.52 is: 24,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,849.42 : 42,572.07 = 17,420.52 : x
  2. Step 2: Convert to fraction form
    30,849.42/42,572.07 = 17,420.52/x
  3. Step 3: Cross multiply
    30,849.42x = 42,572.07 × 17,420.52
  4. Step 4: Simplify right side
    30,849.42x = 741,627,596.88
  5. Step 5: Solve for x
    x = 741,627,596.88/30,849.42
  6. Step 6: Final answer
    x = 24,040.24

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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.