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Finding the Fourth Proportional to 32,054.06, 48,086.58 and 9,867

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Solution

The fourth proportional to 32,054.06, 48,086.58 and 9,867 is: 14,802.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054.06 : 48,086.58 = 9,867 : x
  2. Step 2: Convert to fraction form
    32,054.06/48,086.58 = 9,867/x
  3. Step 3: Cross multiply
    32,054.06x = 48,086.58 × 9,867
  4. Step 4: Simplify right side
    32,054.06x = 474,470,284.86
  5. Step 5: Solve for x
    x = 474,470,284.86/32,054.06
  6. Step 6: Final answer
    x = 14,802.19

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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.