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Finding the Fourth Proportional to 85,329.70, 127,985.67 and 22,996.42

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Solution

The fourth proportional to 85,329.70, 127,985.67 and 22,996.42 is: 34,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,329.70 : 127,985.67 = 22,996.42 : x
  2. Step 2: Convert to fraction form
    85,329.70/127,985.67 = 22,996.42/x
  3. Step 3: Cross multiply
    85,329.70x = 127,985.67 × 22,996.42
  4. Step 4: Simplify right side
    85,329.70x = 2,943,212,221.30
  5. Step 5: Solve for x
    x = 2,943,212,221.30/85,329.70
  6. Step 6: Final answer
    x = 34,492.24

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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.