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Finding the Fourth Proportional to 41,564.87, 57,345.30 and 23,655.38

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Solution

The fourth proportional to 41,564.87, 57,345.30 and 23,655.38 is: 32,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,564.87 : 57,345.30 = 23,655.38 : x
  2. Step 2: Convert to fraction form
    41,564.87/57,345.30 = 23,655.38/x
  3. Step 3: Cross multiply
    41,564.87x = 57,345.30 × 23,655.38
  4. Step 4: Simplify right side
    41,564.87x = 1,356,524,862.71
  5. Step 5: Solve for x
    x = 1,356,524,862.71/41,564.87
  6. Step 6: Final answer
    x = 32,636.33

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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.