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Finding the Fourth Proportional to 56,685, 78,225.30 and 31,534.50

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Solution

The fourth proportional to 56,685, 78,225.30 and 31,534.50 is: 43,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,685 : 78,225.30 = 31,534.50 : x
  2. Step 2: Convert to fraction form
    56,685/78,225.30 = 31,534.50/x
  3. Step 3: Cross multiply
    56,685x = 78,225.30 × 31,534.50
  4. Step 4: Simplify right side
    56,685x = 2,466,795,722.85
  5. Step 5: Solve for x
    x = 2,466,795,722.85/56,685
  6. Step 6: Final answer
    x = 43,517.61

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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.