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Finding the Fourth Proportional to 82,732, 114,190.40 and 46,942.96

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Solution

The fourth proportional to 82,732, 114,190.40 and 46,942.96 is: 64,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,732 : 114,190.40 = 46,942.96 : x
  2. Step 2: Convert to fraction form
    82,732/114,190.40 = 46,942.96/x
  3. Step 3: Cross multiply
    82,732x = 114,190.40 × 46,942.96
  4. Step 4: Simplify right side
    82,732x = 5,360,435,379.58
  5. Step 5: Solve for x
    x = 5,360,435,379.58/82,732
  6. Step 6: Final answer
    x = 64,792.77

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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.