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Finding the Fourth Proportional to 57,946.50, 79,966.17 and 31,450.50

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Solution

The fourth proportional to 57,946.50, 79,966.17 and 31,450.50 is: 43,401.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,946.50 : 79,966.17 = 31,450.50 : x
  2. Step 2: Convert to fraction form
    57,946.50/79,966.17 = 31,450.50/x
  3. Step 3: Cross multiply
    57,946.50x = 79,966.17 × 31,450.50
  4. Step 4: Simplify right side
    57,946.50x = 2,514,976,029.59
  5. Step 5: Solve for x
    x = 2,514,976,029.59/57,946.50
  6. Step 6: Final answer
    x = 43,401.69

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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.