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Finding the Fourth Proportional to 96,224.32, 132,784.20 and 53,201.32

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Solution

The fourth proportional to 96,224.32, 132,784.20 and 53,201.32 is: 73,414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,224.32 : 132,784.20 = 53,201.32 : x
  2. Step 2: Convert to fraction form
    96,224.32/132,784.20 = 53,201.32/x
  3. Step 3: Cross multiply
    96,224.32x = 132,784.20 × 53,201.32
  4. Step 4: Simplify right side
    96,224.32x = 7,064,295,080.63
  5. Step 5: Solve for x
    x = 7,064,295,080.63/96,224.32
  6. Step 6: Final answer
    x = 73,414.86

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1.5x scale

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.