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Finding the Fourth Proportional to 82,013.35, 113,178.43 and 46,203.35

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Solution

The fourth proportional to 82,013.35, 113,178.43 and 46,203.35 is: 63,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,013.35 : 113,178.43 = 46,203.35 : x
  2. Step 2: Convert to fraction form
    82,013.35/113,178.43 = 46,203.35/x
  3. Step 3: Cross multiply
    82,013.35x = 113,178.43 × 46,203.35
  4. Step 4: Simplify right side
    82,013.35x = 5,229,222,613.74
  5. Step 5: Solve for x
    x = 5,229,222,613.74/82,013.35
  6. Step 6: Final answer
    x = 63,760.63

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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.