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Finding the Fourth Proportional to 97,093.77, 133,982.55 and 54,071.97

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Solution

The fourth proportional to 97,093.77, 133,982.55 and 54,071.97 is: 74,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093.77 : 133,982.55 = 54,071.97 : x
  2. Step 2: Convert to fraction form
    97,093.77/133,982.55 = 54,071.97/x
  3. Step 3: Cross multiply
    97,093.77x = 133,982.55 × 54,071.97
  4. Step 4: Simplify right side
    97,093.77x = 7,244,700,424.12
  5. Step 5: Solve for x
    x = 7,244,700,424.12/97,093.77
  6. Step 6: Final answer
    x = 74,615.50

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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.