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Finding the Fourth Proportional to 96,229, 132,798.42 and 53,794.60

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Solution

The fourth proportional to 96,229, 132,798.42 and 53,794.60 is: 74,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,229 : 132,798.42 = 53,794.60 : x
  2. Step 2: Convert to fraction form
    96,229/132,798.42 = 53,794.60/x
  3. Step 3: Cross multiply
    96,229x = 132,798.42 × 53,794.60
  4. Step 4: Simplify right side
    96,229x = 7,143,837,884.53
  5. Step 5: Solve for x
    x = 7,143,837,884.53/96,229
  6. Step 6: Final answer
    x = 74,237.89

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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.