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Finding the Fourth Proportional to 51,714, 71,373.96 and 30,498.48

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Solution

The fourth proportional to 51,714, 71,373.96 and 30,498.48 is: 42,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714 : 71,373.96 = 30,498.48 : x
  2. Step 2: Convert to fraction form
    51,714/71,373.96 = 30,498.48/x
  3. Step 3: Cross multiply
    51,714x = 71,373.96 × 30,498.48
  4. Step 4: Simplify right side
    51,714x = 2,176,797,291.58
  5. Step 5: Solve for x
    x = 2,176,797,291.58/51,714
  6. Step 6: Final answer
    x = 42,093.00

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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.