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Finding the Fourth Proportional to 72,787.60, 100,446.24 and 40,955.86

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Solution

The fourth proportional to 72,787.60, 100,446.24 and 40,955.86 is: 56,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,787.60 : 100,446.24 = 40,955.86 : x
  2. Step 2: Convert to fraction form
    72,787.60/100,446.24 = 40,955.86/x
  3. Step 3: Cross multiply
    72,787.60x = 100,446.24 × 40,955.86
  4. Step 4: Simplify right side
    72,787.60x = 4,113,862,142.97
  5. Step 5: Solve for x
    x = 4,113,862,142.97/72,787.60
  6. Step 6: Final answer
    x = 56,518.72

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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.