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Finding the Fourth Proportional to 41,506.64, 57,260.64 and 25,585.28

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Solution

The fourth proportional to 41,506.64, 57,260.64 and 25,585.28 is: 35,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,506.64 : 57,260.64 = 25,585.28 : x
  2. Step 2: Convert to fraction form
    41,506.64/57,260.64 = 25,585.28/x
  3. Step 3: Cross multiply
    41,506.64x = 57,260.64 × 25,585.28
  4. Step 4: Simplify right side
    41,506.64x = 1,465,029,507.38
  5. Step 5: Solve for x
    x = 1,465,029,507.38/41,506.64
  6. Step 6: Final answer
    x = 35,296.27

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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.