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Finding the Fourth Proportional to 56,850.50, 78,456.12 and 31,700

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Solution

The fourth proportional to 56,850.50, 78,456.12 and 31,700 is: 43,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,850.50 : 78,456.12 = 31,700 : x
  2. Step 2: Convert to fraction form
    56,850.50/78,456.12 = 31,700/x
  3. Step 3: Cross multiply
    56,850.50x = 78,456.12 × 31,700
  4. Step 4: Simplify right side
    56,850.50x = 2,487,059,004
  5. Step 5: Solve for x
    x = 2,487,059,004/56,850.50
  6. Step 6: Final answer
    x = 43,747.35

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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.