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Finding the Fourth Proportional to 82,666.38, 114,072.30 and 45,873.54

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Solution

The fourth proportional to 82,666.38, 114,072.30 and 45,873.54 is: 63,301.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,666.38 : 114,072.30 = 45,873.54 : x
  2. Step 2: Convert to fraction form
    82,666.38/114,072.30 = 45,873.54/x
  3. Step 3: Cross multiply
    82,666.38x = 114,072.30 × 45,873.54
  4. Step 4: Simplify right side
    82,666.38x = 5,232,900,216.94
  5. Step 5: Solve for x
    x = 5,232,900,216.94/82,666.38
  6. Step 6: Final answer
    x = 63,301.43

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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.