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Finding the Fourth Proportional to 57,195.29, 85,803.71 and 21,667.25

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Solution

The fourth proportional to 57,195.29, 85,803.71 and 21,667.25 is: 32,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,195.29 : 85,803.71 = 21,667.25 : x
  2. Step 2: Convert to fraction form
    57,195.29/85,803.71 = 21,667.25/x
  3. Step 3: Cross multiply
    57,195.29x = 85,803.71 × 21,667.25
  4. Step 4: Simplify right side
    57,195.29x = 1,859,130,435.50
  5. Step 5: Solve for x
    x = 1,859,130,435.50/57,195.29
  6. Step 6: Final answer
    x = 32,504.96

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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.