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Finding the Fourth Proportional to 96,224.35, 132,784.25 and 53,201.36

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Solution

The fourth proportional to 96,224.35, 132,784.25 and 53,201.36 is: 73,414.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,224.35 : 132,784.25 = 53,201.36 : x
  2. Step 2: Convert to fraction form
    96,224.35/132,784.25 = 53,201.36/x
  3. Step 3: Cross multiply
    96,224.35x = 132,784.25 × 53,201.36
  4. Step 4: Simplify right side
    96,224.35x = 7,064,301,756.65
  5. Step 5: Solve for x
    x = 7,064,301,756.65/96,224.35
  6. Step 6: Final answer
    x = 73,414.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.