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Finding the Fourth Proportional to 32,770.83, 49,164.44 and 9,397.27

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Solution

The fourth proportional to 32,770.83, 49,164.44 and 9,397.27 is: 14,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.83 : 49,164.44 = 9,397.27 : x
  2. Step 2: Convert to fraction form
    32,770.83/49,164.44 = 9,397.27/x
  3. Step 3: Cross multiply
    32,770.83x = 49,164.44 × 9,397.27
  4. Step 4: Simplify right side
    32,770.83x = 462,011,334.29
  5. Step 5: Solve for x
    x = 462,011,334.29/32,770.83
  6. Step 6: Final answer
    x = 14,098.25

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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.