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Finding the Fourth Proportional to 50,702.64, 76,021.56 and 24,354.96

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Solution

The fourth proportional to 50,702.64, 76,021.56 and 24,354.96 is: 36,516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,702.64 : 76,021.56 = 24,354.96 : x
  2. Step 2: Convert to fraction form
    50,702.64/76,021.56 = 24,354.96/x
  3. Step 3: Cross multiply
    50,702.64x = 76,021.56 × 24,354.96
  4. Step 4: Simplify right side
    50,702.64x = 1,851,502,052.94
  5. Step 5: Solve for x
    x = 1,851,502,052.94/50,702.64
  6. Step 6: Final answer
    x = 36,516.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.