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Finding the Fourth Proportional to 96,024, 132,512.64 and 53,580

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Solution

The fourth proportional to 96,024, 132,512.64 and 53,580 is: 73,940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,024 : 132,512.64 = 53,580 : x
  2. Step 2: Convert to fraction form
    96,024/132,512.64 = 53,580/x
  3. Step 3: Cross multiply
    96,024x = 132,512.64 × 53,580
  4. Step 4: Simplify right side
    96,024x = 7,100,027,251.20
  5. Step 5: Solve for x
    x = 7,100,027,251.20/96,024
  6. Step 6: Final answer
    x = 73,940.13

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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.