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Finding the Fourth Proportional to 82,551.96, 113,924.07 and 46,747.53

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Solution

The fourth proportional to 82,551.96, 113,924.07 and 46,747.53 is: 64,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,551.96 : 113,924.07 = 46,747.53 : x
  2. Step 2: Convert to fraction form
    82,551.96/113,924.07 = 46,747.53/x
  3. Step 3: Cross multiply
    82,551.96x = 113,924.07 × 46,747.53
  4. Step 4: Simplify right side
    82,551.96x = 5,325,668,880.05
  5. Step 5: Solve for x
    x = 5,325,668,880.05/82,551.96
  6. Step 6: Final answer
    x = 64,512.93

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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.