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Finding the Fourth Proportional to 57,118.80, 85,702.68 and 22,083

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Solution

The fourth proportional to 57,118.80, 85,702.68 and 22,083 is: 33,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,118.80 : 85,702.68 = 22,083 : x
  2. Step 2: Convert to fraction form
    57,118.80/85,702.68 = 22,083/x
  3. Step 3: Cross multiply
    57,118.80x = 85,702.68 × 22,083
  4. Step 4: Simplify right side
    57,118.80x = 1,892,572,282.44
  5. Step 5: Solve for x
    x = 1,892,572,282.44/57,118.80
  6. Step 6: Final answer
    x = 33,133.96

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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.