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Finding the Fourth Proportional to 85,884.57, 128,865.20 and 33,298.16

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Solution

The fourth proportional to 85,884.57, 128,865.20 and 33,298.16 is: 49,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,884.57 : 128,865.20 = 33,298.16 : x
  2. Step 2: Convert to fraction form
    85,884.57/128,865.20 = 33,298.16/x
  3. Step 3: Cross multiply
    85,884.57x = 128,865.20 × 33,298.16
  4. Step 4: Simplify right side
    85,884.57x = 4,290,973,237.22
  5. Step 5: Solve for x
    x = 4,290,973,237.22/85,884.57
  6. Step 6: Final answer
    x = 49,962.10

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