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Finding the Fourth Proportional to 82,450.54, 113,784.24 and 46,639.86

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Solution

The fourth proportional to 82,450.54, 113,784.24 and 46,639.86 is: 64,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,450.54 : 113,784.24 = 46,639.86 : x
  2. Step 2: Convert to fraction form
    82,450.54/113,784.24 = 46,639.86/x
  3. Step 3: Cross multiply
    82,450.54x = 113,784.24 × 46,639.86
  4. Step 4: Simplify right side
    82,450.54x = 5,306,881,023.81
  5. Step 5: Solve for x
    x = 5,306,881,023.81/82,450.54
  6. Step 6: Final answer
    x = 64,364.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.