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Finding the Fourth Proportional to 82,969.05, 114,507.08 and 47,164.41

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Solution

The fourth proportional to 82,969.05, 114,507.08 and 47,164.41 is: 65,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,969.05 : 114,507.08 = 47,164.41 : x
  2. Step 2: Convert to fraction form
    82,969.05/114,507.08 = 47,164.41/x
  3. Step 3: Cross multiply
    82,969.05x = 114,507.08 × 47,164.41
  4. Step 4: Simplify right side
    82,969.05x = 5,400,658,869.02
  5. Step 5: Solve for x
    x = 5,400,658,869.02/82,969.05
  6. Step 6: Final answer
    x = 65,092.45

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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.