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Finding the Fourth Proportional to 56,736, 85,142.88 and 19,800

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Solution

The fourth proportional to 56,736, 85,142.88 and 19,800 is: 29,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,736 : 85,142.88 = 19,800 : x
  2. Step 2: Convert to fraction form
    56,736/85,142.88 = 19,800/x
  3. Step 3: Cross multiply
    56,736x = 85,142.88 × 19,800
  4. Step 4: Simplify right side
    56,736x = 1,685,829,024
  5. Step 5: Solve for x
    x = 1,685,829,024/56,736
  6. Step 6: Final answer
    x = 29,713.57

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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.