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Finding the Fourth Proportional to 73,760.14, 101,787.90 and 41,492.32

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Solution

The fourth proportional to 73,760.14, 101,787.90 and 41,492.32 is: 57,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,760.14 : 101,787.90 = 41,492.32 : x
  2. Step 2: Convert to fraction form
    73,760.14/101,787.90 = 41,492.32/x
  3. Step 3: Cross multiply
    73,760.14x = 101,787.90 × 41,492.32
  4. Step 4: Simplify right side
    73,760.14x = 4,223,416,118.93
  5. Step 5: Solve for x
    x = 4,223,416,118.93/73,760.14
  6. Step 6: Final answer
    x = 57,258.79

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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.