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Finding the Fourth Proportional to 32,054.74, 48,086.66 and 9,869.96

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Solution

The fourth proportional to 32,054.74, 48,086.66 and 9,869.96 is: 14,806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.74 : 48,086.66 = 9,869.96 : x
  2. Step 2: Convert to fraction form
    32,054.74/48,086.66 = 9,869.96/x
  3. Step 3: Cross multiply
    32,054.74x = 48,086.66 × 9,869.96
  4. Step 4: Simplify right side
    32,054.74x = 474,613,410.73
  5. Step 5: Solve for x
    x = 474,613,410.73/32,054.74
  6. Step 6: Final answer
    x = 14,806.34

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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.