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Finding the Fourth Proportional to 99,533.76, 149,268.48 and 32,961.60

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Solution

The fourth proportional to 99,533.76, 149,268.48 and 32,961.60 is: 49,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.76 : 149,268.48 = 32,961.60 : x
  2. Step 2: Convert to fraction form
    99,533.76/149,268.48 = 32,961.60/x
  3. Step 3: Cross multiply
    99,533.76x = 149,268.48 × 32,961.60
  4. Step 4: Simplify right side
    99,533.76x = 4,920,127,930.37
  5. Step 5: Solve for x
    x = 4,920,127,930.37/99,533.76
  6. Step 6: Final answer
    x = 49,431.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.