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Finding the Fourth Proportional to 73,683.81, 101,683.62 and 40,149.81

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Solution

The fourth proportional to 73,683.81, 101,683.62 and 40,149.81 is: 55,406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,683.81 : 101,683.62 = 40,149.81 : x
  2. Step 2: Convert to fraction form
    73,683.81/101,683.62 = 40,149.81/x
  3. Step 3: Cross multiply
    73,683.81x = 101,683.62 × 40,149.81
  4. Step 4: Simplify right side
    73,683.81x = 4,082,578,023.11
  5. Step 5: Solve for x
    x = 4,082,578,023.11/73,683.81
  6. Step 6: Final answer
    x = 55,406.72

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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.