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Finding the Fourth Proportional to 56,385, 77,813.73 and 31,234.50

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Solution

The fourth proportional to 56,385, 77,813.73 and 31,234.50 is: 43,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,385 : 77,813.73 = 31,234.50 : x
  2. Step 2: Convert to fraction form
    56,385/77,813.73 = 31,234.50/x
  3. Step 3: Cross multiply
    56,385x = 77,813.73 × 31,234.50
  4. Step 4: Simplify right side
    56,385x = 2,430,472,949.69
  5. Step 5: Solve for x
    x = 2,430,472,949.69/56,385
  6. Step 6: Final answer
    x = 43,104.96

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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.