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Finding the Fourth Proportional to 30,714.30, 45,962.10 and 21,310.20

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Solution

The fourth proportional to 30,714.30, 45,962.10 and 21,310.20 is: 31,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.30 : 45,962.10 = 21,310.20 : x
  2. Step 2: Convert to fraction form
    30,714.30/45,962.10 = 21,310.20/x
  3. Step 3: Cross multiply
    30,714.30x = 45,962.10 × 21,310.20
  4. Step 4: Simplify right side
    30,714.30x = 979,461,543.42
  5. Step 5: Solve for x
    x = 979,461,543.42/30,714.30
  6. Step 6: Final answer
    x = 31,889.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.