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Finding the Fourth Proportional to 69,933.89, 96,509.88 and 38,102.81

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Solution

The fourth proportional to 69,933.89, 96,509.88 and 38,102.81 is: 52,582.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,933.89 : 96,509.88 = 38,102.81 : x
  2. Step 2: Convert to fraction form
    69,933.89/96,509.88 = 38,102.81/x
  3. Step 3: Cross multiply
    69,933.89x = 96,509.88 × 38,102.81
  4. Step 4: Simplify right side
    69,933.89x = 3,677,297,138.21
  5. Step 5: Solve for x
    x = 3,677,297,138.21/69,933.89
  6. Step 6: Final answer
    x = 52,582.47

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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.