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Finding the Fourth Proportional to 72,981.38, 100,714.32 and 41,150.28

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Solution

The fourth proportional to 72,981.38, 100,714.32 and 41,150.28 is: 56,787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,981.38 : 100,714.32 = 41,150.28 : x
  2. Step 2: Convert to fraction form
    72,981.38/100,714.32 = 41,150.28/x
  3. Step 3: Cross multiply
    72,981.38x = 100,714.32 × 41,150.28
  4. Step 4: Simplify right side
    72,981.38x = 4,144,422,468.01
  5. Step 5: Solve for x
    x = 4,144,422,468.01/72,981.38
  6. Step 6: Final answer
    x = 56,787.40

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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.