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Finding the Fourth Proportional to 82,443, 113,771.35 and 46,632.24

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Solution

The fourth proportional to 82,443, 113,771.35 and 46,632.24 is: 64,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,443 : 113,771.35 = 46,632.24 : x
  2. Step 2: Convert to fraction form
    82,443/113,771.35 = 46,632.24/x
  3. Step 3: Cross multiply
    82,443x = 113,771.35 × 46,632.24
  4. Step 4: Simplify right side
    82,443x = 5,305,412,898.32
  5. Step 5: Solve for x
    x = 5,305,412,898.32/82,443
  6. Step 6: Final answer
    x = 64,352.50

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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.