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Finding the Fourth Proportional to 56,790, 78,370.20 and 31,638.96

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Solution

The fourth proportional to 56,790, 78,370.20 and 31,638.96 is: 43,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,790 : 78,370.20 = 31,638.96 : x
  2. Step 2: Convert to fraction form
    56,790/78,370.20 = 31,638.96/x
  3. Step 3: Cross multiply
    56,790x = 78,370.20 × 31,638.96
  4. Step 4: Simplify right side
    56,790x = 2,479,551,622.99
  5. Step 5: Solve for x
    x = 2,479,551,622.99/56,790
  6. Step 6: Final answer
    x = 43,661.76

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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.