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Finding the Fourth Proportional to 32,654.10, 45,049.21 and 21,319.66

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Solution

The fourth proportional to 32,654.10, 45,049.21 and 21,319.66 is: 29,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.10 : 45,049.21 = 21,319.66 : x
  2. Step 2: Convert to fraction form
    32,654.10/45,049.21 = 21,319.66/x
  3. Step 3: Cross multiply
    32,654.10x = 45,049.21 × 21,319.66
  4. Step 4: Simplify right side
    32,654.10x = 960,433,840.47
  5. Step 5: Solve for x
    x = 960,433,840.47/32,654.10
  6. Step 6: Final answer
    x = 29,412.35

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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.