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Finding the Fourth Proportional to 82,889.79, 114,387.90 and 45,164.04

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Solution

The fourth proportional to 82,889.79, 114,387.90 and 45,164.04 is: 62,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,889.79 : 114,387.90 = 45,164.04 : x
  2. Step 2: Convert to fraction form
    82,889.79/114,387.90 = 45,164.04/x
  3. Step 3: Cross multiply
    82,889.79x = 114,387.90 × 45,164.04
  4. Step 4: Simplify right side
    82,889.79x = 5,166,219,691.12
  5. Step 5: Solve for x
    x = 5,166,219,691.12/82,889.79
  6. Step 6: Final answer
    x = 62,326.37

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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.