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Finding the Fourth Proportional to 96,564.34, 133,258.37 and 54,122.87

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Solution

The fourth proportional to 96,564.34, 133,258.37 and 54,122.87 is: 74,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564.34 : 133,258.37 = 54,122.87 : x
  2. Step 2: Convert to fraction form
    96,564.34/133,258.37 = 54,122.87/x
  3. Step 3: Cross multiply
    96,564.34x = 133,258.37 × 54,122.87
  4. Step 4: Simplify right side
    96,564.34x = 7,212,325,435.92
  5. Step 5: Solve for x
    x = 7,212,325,435.92/96,564.34
  6. Step 6: Final answer
    x = 74,689.33

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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.