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Finding the Fourth Proportional to 41,395.86, 57,126.54 and 22,533

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Solution

The fourth proportional to 41,395.86, 57,126.54 and 22,533 is: 31,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,395.86 : 57,126.54 = 22,533 : x
  2. Step 2: Convert to fraction form
    41,395.86/57,126.54 = 22,533/x
  3. Step 3: Cross multiply
    41,395.86x = 57,126.54 × 22,533
  4. Step 4: Simplify right side
    41,395.86x = 1,287,232,325.82
  5. Step 5: Solve for x
    x = 1,287,232,325.82/41,395.86
  6. Step 6: Final answer
    x = 31,095.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.