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Finding the Fourth Proportional to 42,546.08, 58,706.40 and 24,638

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Solution

The fourth proportional to 42,546.08, 58,706.40 and 24,638 is: 33,996.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,546.08 : 58,706.40 = 24,638 : x
  2. Step 2: Convert to fraction form
    42,546.08/58,706.40 = 24,638/x
  3. Step 3: Cross multiply
    42,546.08x = 58,706.40 × 24,638
  4. Step 4: Simplify right side
    42,546.08x = 1,446,408,283.20
  5. Step 5: Solve for x
    x = 1,446,408,283.20/42,546.08
  6. Step 6: Final answer
    x = 33,996.28

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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.