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Finding the Fourth Proportional to 32,121.90, 48,238 and 19,714.78

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Solution

The fourth proportional to 32,121.90, 48,238 and 19,714.78 is: 29,606.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121.90 : 48,238 = 19,714.78 : x
  2. Step 2: Convert to fraction form
    32,121.90/48,238 = 19,714.78/x
  3. Step 3: Cross multiply
    32,121.90x = 48,238 × 19,714.78
  4. Step 4: Simplify right side
    32,121.90x = 951,001,557.64
  5. Step 5: Solve for x
    x = 951,001,557.64/32,121.90
  6. Step 6: Final answer
    x = 29,606.02

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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.