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Finding the Fourth Proportional to 96,371.76, 132,993.02 and 53,938.48

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Solution

The fourth proportional to 96,371.76, 132,993.02 and 53,938.48 is: 74,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,371.76 : 132,993.02 = 53,938.48 : x
  2. Step 2: Convert to fraction form
    96,371.76/132,993.02 = 53,938.48/x
  3. Step 3: Cross multiply
    96,371.76x = 132,993.02 × 53,938.48
  4. Step 4: Simplify right side
    96,371.76x = 7,173,441,349.41
  5. Step 5: Solve for x
    x = 7,173,441,349.41/96,371.76
  6. Step 6: Final answer
    x = 74,435.10

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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.