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Finding the Fourth Proportional to 51,714.64, 71,373.92 and 31,583.10

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Solution

The fourth proportional to 51,714.64, 71,373.92 and 31,583.10 is: 43,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714.64 : 71,373.92 = 31,583.10 : x
  2. Step 2: Convert to fraction form
    51,714.64/71,373.92 = 31,583.10/x
  3. Step 3: Cross multiply
    51,714.64x = 71,373.92 × 31,583.10
  4. Step 4: Simplify right side
    51,714.64x = 2,254,209,652.75
  5. Step 5: Solve for x
    x = 2,254,209,652.75/51,714.64
  6. Step 6: Final answer
    x = 43,589.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.