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Finding the Fourth Proportional to 38,066.56, 57,095.74 and 9,989.44

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Solution

The fourth proportional to 38,066.56, 57,095.74 and 9,989.44 is: 14,983.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,066.56 : 57,095.74 = 9,989.44 : x
  2. Step 2: Convert to fraction form
    38,066.56/57,095.74 = 9,989.44/x
  3. Step 3: Cross multiply
    38,066.56x = 57,095.74 × 9,989.44
  4. Step 4: Simplify right side
    38,066.56x = 570,354,468.99
  5. Step 5: Solve for x
    x = 570,354,468.99/38,066.56
  6. Step 6: Final answer
    x = 14,983.08

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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.