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Finding the Fourth Proportional to 41,507.94, 62,265.78 and 16,541.94

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Solution

The fourth proportional to 41,507.94, 62,265.78 and 16,541.94 is: 24,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,507.94 : 62,265.78 = 16,541.94 : x
  2. Step 2: Convert to fraction form
    41,507.94/62,265.78 = 16,541.94/x
  3. Step 3: Cross multiply
    41,507.94x = 62,265.78 × 16,541.94
  4. Step 4: Simplify right side
    41,507.94x = 1,029,996,796.81
  5. Step 5: Solve for x
    x = 1,029,996,796.81/41,507.94
  6. Step 6: Final answer
    x = 24,814.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.