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Finding the Fourth Proportional to 82,889.77, 114,387.90 and 45,164.02

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Solution

The fourth proportional to 82,889.77, 114,387.90 and 45,164.02 is: 62,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,889.77 : 114,387.90 = 45,164.02 : x
  2. Step 2: Convert to fraction form
    82,889.77/114,387.90 = 45,164.02/x
  3. Step 3: Cross multiply
    82,889.77x = 114,387.90 × 45,164.02
  4. Step 4: Simplify right side
    82,889.77x = 5,166,217,403.36
  5. Step 5: Solve for x
    x = 5,166,217,403.36/82,889.77
  6. Step 6: Final answer
    x = 62,326.36

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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.