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Finding the Fourth Proportional to 96,982.54, 133,920 and 71,533.01

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Solution

The fourth proportional to 96,982.54, 133,920 and 71,533.01 is: 98,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,982.54 : 133,920 = 71,533.01 : x
  2. Step 2: Convert to fraction form
    96,982.54/133,920 = 71,533.01/x
  3. Step 3: Cross multiply
    96,982.54x = 133,920 × 71,533.01
  4. Step 4: Simplify right side
    96,982.54x = 9,579,701,034
  5. Step 5: Solve for x
    x = 9,579,701,034/96,982.54
  6. Step 6: Final answer
    x = 98,777.59

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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.