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Finding the Fourth Proportional to 76,467.64, 114,015.71 and 73,541.92

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Solution

The fourth proportional to 76,467.64, 114,015.71 and 73,541.92 is: 109,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467.64 : 114,015.71 = 73,541.92 : x
  2. Step 2: Convert to fraction form
    76,467.64/114,015.71 = 73,541.92/x
  3. Step 3: Cross multiply
    76,467.64x = 114,015.71 × 73,541.92
  4. Step 4: Simplify right side
    76,467.64x = 8,384,934,223.56
  5. Step 5: Solve for x
    x = 8,384,934,223.56/76,467.64
  6. Step 6: Final answer
    x = 109,653.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.