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Finding the Fourth Proportional to 98,533.37, 135,982.91 and 56,091.89

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Solution

The fourth proportional to 98,533.37, 135,982.91 and 56,091.89 is: 77,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,533.37 : 135,982.91 = 56,091.89 : x
  2. Step 2: Convert to fraction form
    98,533.37/135,982.91 = 56,091.89/x
  3. Step 3: Cross multiply
    98,533.37x = 135,982.91 × 56,091.89
  4. Step 4: Simplify right side
    98,533.37x = 7,627,538,429.60
  5. Step 5: Solve for x
    x = 7,627,538,429.60/98,533.37
  6. Step 6: Final answer
    x = 77,410.71

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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.