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Finding the Fourth Proportional to 40,772, 56,265.46 and 23,787.92

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Solution

The fourth proportional to 40,772, 56,265.46 and 23,787.92 is: 32,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,772 : 56,265.46 = 23,787.92 : x
  2. Step 2: Convert to fraction form
    40,772/56,265.46 = 23,787.92/x
  3. Step 3: Cross multiply
    40,772x = 56,265.46 × 23,787.92
  4. Step 4: Simplify right side
    40,772x = 1,338,438,261.24
  5. Step 5: Solve for x
    x = 1,338,438,261.24/40,772
  6. Step 6: Final answer
    x = 32,827.39

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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.