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Finding the Fourth Proportional to 30,672.24, 42,328.08 and 17,242.80

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Solution

The fourth proportional to 30,672.24, 42,328.08 and 17,242.80 is: 23,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.24 : 42,328.08 = 17,242.80 : x
  2. Step 2: Convert to fraction form
    30,672.24/42,328.08 = 17,242.80/x
  3. Step 3: Cross multiply
    30,672.24x = 42,328.08 × 17,242.80
  4. Step 4: Simplify right side
    30,672.24x = 729,854,617.82
  5. Step 5: Solve for x
    x = 729,854,617.82/30,672.24
  6. Step 6: Final answer
    x = 23,795.28

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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.