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Finding the Fourth Proportional to 43,792, 60,434.40 and 23,920

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Solution

The fourth proportional to 43,792, 60,434.40 and 23,920 is: 33,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,792 : 60,434.40 = 23,920 : x
  2. Step 2: Convert to fraction form
    43,792/60,434.40 = 23,920/x
  3. Step 3: Cross multiply
    43,792x = 60,434.40 × 23,920
  4. Step 4: Simplify right side
    43,792x = 1,445,590,848
  5. Step 5: Solve for x
    x = 1,445,590,848/43,792
  6. Step 6: Final answer
    x = 33,010.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.