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Finding the Fourth Proportional to 51,966.54, 71,714.48 and 31,542.70

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Solution

The fourth proportional to 51,966.54, 71,714.48 and 31,542.70 is: 43,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,966.54 : 71,714.48 = 31,542.70 : x
  2. Step 2: Convert to fraction form
    51,966.54/71,714.48 = 31,542.70/x
  3. Step 3: Cross multiply
    51,966.54x = 71,714.48 × 31,542.70
  4. Step 4: Simplify right side
    51,966.54x = 2,262,068,328.30
  5. Step 5: Solve for x
    x = 2,262,068,328.30/51,966.54
  6. Step 6: Final answer
    x = 43,529.32

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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.