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Finding the Fourth Proportional to 82,538.36, 113,905.70 and 46,241.38

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Solution

The fourth proportional to 82,538.36, 113,905.70 and 46,241.38 is: 63,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,538.36 : 113,905.70 = 46,241.38 : x
  2. Step 2: Convert to fraction form
    82,538.36/113,905.70 = 46,241.38/x
  3. Step 3: Cross multiply
    82,538.36x = 113,905.70 × 46,241.38
  4. Step 4: Simplify right side
    82,538.36x = 5,267,156,588.71
  5. Step 5: Solve for x
    x = 5,267,156,588.71/82,538.36
  6. Step 6: Final answer
    x = 63,814.65

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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.