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Finding the Fourth Proportional to 45,644.70, 68,313.45 and 31,820.70

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Solution

The fourth proportional to 45,644.70, 68,313.45 and 31,820.70 is: 47,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,644.70 : 68,313.45 = 31,820.70 : x
  2. Step 2: Convert to fraction form
    45,644.70/68,313.45 = 31,820.70/x
  3. Step 3: Cross multiply
    45,644.70x = 68,313.45 × 31,820.70
  4. Step 4: Simplify right side
    45,644.70x = 2,173,781,798.42
  5. Step 5: Solve for x
    x = 2,173,781,798.42/45,644.70
  6. Step 6: Final answer
    x = 47,623.97

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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.