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Finding the Fourth Proportional to 41,582, 57,383.16 and 22,719.26

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Solution

The fourth proportional to 41,582, 57,383.16 and 22,719.26 is: 31,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,582 : 57,383.16 = 22,719.26 : x
  2. Step 2: Convert to fraction form
    41,582/57,383.16 = 22,719.26/x
  3. Step 3: Cross multiply
    41,582x = 57,383.16 × 22,719.26
  4. Step 4: Simplify right side
    41,582x = 1,303,702,931.66
  5. Step 5: Solve for x
    x = 1,303,702,931.66/41,582
  6. Step 6: Final answer
    x = 31,352.58

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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.