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Finding the Fourth Proportional to 87,196, 120,330.48 and 47,452

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Solution

The fourth proportional to 87,196, 120,330.48 and 47,452 is: 65,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,196 : 120,330.48 = 47,452 : x
  2. Step 2: Convert to fraction form
    87,196/120,330.48 = 47,452/x
  3. Step 3: Cross multiply
    87,196x = 120,330.48 × 47,452
  4. Step 4: Simplify right side
    87,196x = 5,709,921,936.96
  5. Step 5: Solve for x
    x = 5,709,921,936.96/87,196
  6. Step 6: Final answer
    x = 65,483.76

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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.