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Finding the Fourth Proportional to 85,121.84, 127,681.32 and 21,941.84

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Solution

The fourth proportional to 85,121.84, 127,681.32 and 21,941.84 is: 32,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,121.84 : 127,681.32 = 21,941.84 : x
  2. Step 2: Convert to fraction form
    85,121.84/127,681.32 = 21,941.84/x
  3. Step 3: Cross multiply
    85,121.84x = 127,681.32 × 21,941.84
  4. Step 4: Simplify right side
    85,121.84x = 2,801,563,094.43
  5. Step 5: Solve for x
    x = 2,801,563,094.43/85,121.84
  6. Step 6: Final answer
    x = 32,912.39

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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.