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Finding the Fourth Proportional to 76,477.44, 114,718.08 and 37,027.20

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Solution

The fourth proportional to 76,477.44, 114,718.08 and 37,027.20 is: 55,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,477.44 : 114,718.08 = 37,027.20 : x
  2. Step 2: Convert to fraction form
    76,477.44/114,718.08 = 37,027.20/x
  3. Step 3: Cross multiply
    76,477.44x = 114,718.08 × 37,027.20
  4. Step 4: Simplify right side
    76,477.44x = 4,247,689,291.78
  5. Step 5: Solve for x
    x = 4,247,689,291.78/76,477.44
  6. Step 6: Final answer
    x = 55,541.73

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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.