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Finding the Fourth Proportional to 82,009.81, 113,173.94 and 46,200.38

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Solution

The fourth proportional to 82,009.81, 113,173.94 and 46,200.38 is: 63,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,009.81 : 113,173.94 = 46,200.38 : x
  2. Step 2: Convert to fraction form
    82,009.81/113,173.94 = 46,200.38/x
  3. Step 3: Cross multiply
    82,009.81x = 113,173.94 × 46,200.38
  4. Step 4: Simplify right side
    82,009.81x = 5,228,679,259.28
  5. Step 5: Solve for x
    x = 5,228,679,259.28/82,009.81
  6. Step 6: Final answer
    x = 63,756.76

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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.