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Finding the Fourth Proportional to 38,469.75, 53,088.33 and 21,702.75

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Solution

The fourth proportional to 38,469.75, 53,088.33 and 21,702.75 is: 29,949.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,469.75 : 53,088.33 = 21,702.75 : x
  2. Step 2: Convert to fraction form
    38,469.75/53,088.33 = 21,702.75/x
  3. Step 3: Cross multiply
    38,469.75x = 53,088.33 × 21,702.75
  4. Step 4: Simplify right side
    38,469.75x = 1,152,162,753.91
  5. Step 5: Solve for x
    x = 1,152,162,753.91/38,469.75
  6. Step 6: Final answer
    x = 29,949.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.