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Finding the Fourth Proportional to 56,712.54, 85,059.44 and 21,164.52

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Solution

The fourth proportional to 56,712.54, 85,059.44 and 21,164.52 is: 31,743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,712.54 : 85,059.44 = 21,164.52 : x
  2. Step 2: Convert to fraction form
    56,712.54/85,059.44 = 21,164.52/x
  3. Step 3: Cross multiply
    56,712.54x = 85,059.44 × 21,164.52
  4. Step 4: Simplify right side
    56,712.54x = 1,800,242,113.25
  5. Step 5: Solve for x
    x = 1,800,242,113.25/56,712.54
  6. Step 6: Final answer
    x = 31,743.28

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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.