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Finding the Fourth Proportional to 82,155.63, 113,303.79 and 53,464.97

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Solution

The fourth proportional to 82,155.63, 113,303.79 and 53,464.97 is: 73,735.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,155.63 : 113,303.79 = 53,464.97 : x
  2. Step 2: Convert to fraction form
    82,155.63/113,303.79 = 53,464.97/x
  3. Step 3: Cross multiply
    82,155.63x = 113,303.79 × 53,464.97
  4. Step 4: Simplify right side
    82,155.63x = 6,057,783,367.21
  5. Step 5: Solve for x
    x = 6,057,783,367.21/82,155.63
  6. Step 6: Final answer
    x = 73,735.46

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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.