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Finding the Fourth Proportional to 180,782.52, 271,189.44 and 47,661.72

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Solution

The fourth proportional to 180,782.52, 271,189.44 and 47,661.72 is: 71,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,782.52 : 271,189.44 = 47,661.72 : x
  2. Step 2: Convert to fraction form
    180,782.52/271,189.44 = 47,661.72/x
  3. Step 3: Cross multiply
    180,782.52x = 271,189.44 × 47,661.72
  4. Step 4: Simplify right side
    180,782.52x = 12,925,355,156.24
  5. Step 5: Solve for x
    x = 12,925,355,156.24/180,782.52
  6. Step 6: Final answer
    x = 71,496.71

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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.