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Finding the Fourth Proportional to 41,642.65, 57,457.65 and 25,513.37

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Solution

The fourth proportional to 41,642.65, 57,457.65 and 25,513.37 is: 35,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642.65 : 57,457.65 = 25,513.37 : x
  2. Step 2: Convert to fraction form
    41,642.65/57,457.65 = 25,513.37/x
  3. Step 3: Cross multiply
    41,642.65x = 57,457.65 × 25,513.37
  4. Step 4: Simplify right side
    41,642.65x = 1,465,938,283.78
  5. Step 5: Solve for x
    x = 1,465,938,283.78/41,642.65
  6. Step 6: Final answer
    x = 35,202.81

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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.