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Finding the Fourth Proportional to 97,647.52, 134,755.86 and 55,208.56

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Solution

The fourth proportional to 97,647.52, 134,755.86 and 55,208.56 is: 76,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,647.52 : 134,755.86 = 55,208.56 : x
  2. Step 2: Convert to fraction form
    97,647.52/134,755.86 = 55,208.56/x
  3. Step 3: Cross multiply
    97,647.52x = 134,755.86 × 55,208.56
  4. Step 4: Simplify right side
    97,647.52x = 7,439,676,982.16
  5. Step 5: Solve for x
    x = 7,439,676,982.16/97,647.52
  6. Step 6: Final answer
    x = 76,189.10

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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.