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Finding the Fourth Proportional to 76,125.54, 114,199.84 and 55,223.31

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Solution

The fourth proportional to 76,125.54, 114,199.84 and 55,223.31 is: 82,843.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,125.54 : 114,199.84 = 55,223.31 : x
  2. Step 2: Convert to fraction form
    76,125.54/114,199.84 = 55,223.31/x
  3. Step 3: Cross multiply
    76,125.54x = 114,199.84 × 55,223.31
  4. Step 4: Simplify right side
    76,125.54x = 6,306,492,595.27
  5. Step 5: Solve for x
    x = 6,306,492,595.27/76,125.54
  6. Step 6: Final answer
    x = 82,843.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.