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Finding the Fourth Proportional to 72,787.68, 100,452.80 and 40,954.56

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Solution

The fourth proportional to 72,787.68, 100,452.80 and 40,954.56 is: 56,520.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,787.68 : 100,452.80 = 40,954.56 : x
  2. Step 2: Convert to fraction form
    72,787.68/100,452.80 = 40,954.56/x
  3. Step 3: Cross multiply
    72,787.68x = 100,452.80 × 40,954.56
  4. Step 4: Simplify right side
    72,787.68x = 4,114,000,224.77
  5. Step 5: Solve for x
    x = 4,114,000,224.77/72,787.68
  6. Step 6: Final answer
    x = 56,520.56

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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.