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Finding the Fourth Proportional to 92,644.83, 138,966.84 and 22,524.75

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Solution

The fourth proportional to 92,644.83, 138,966.84 and 22,524.75 is: 33,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,644.83 : 138,966.84 = 22,524.75 : x
  2. Step 2: Convert to fraction form
    92,644.83/138,966.84 = 22,524.75/x
  3. Step 3: Cross multiply
    92,644.83x = 138,966.84 × 22,524.75
  4. Step 4: Simplify right side
    92,644.83x = 3,130,193,329.29
  5. Step 5: Solve for x
    x = 3,130,193,329.29/92,644.83
  6. Step 6: Final answer
    x = 33,787.03

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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.