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Finding the Fourth Proportional to 42,262.33, 58,322.91 and 23,142.91

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Solution

The fourth proportional to 42,262.33, 58,322.91 and 23,142.91 is: 31,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,262.33 : 58,322.91 = 23,142.91 : x
  2. Step 2: Convert to fraction form
    42,262.33/58,322.91 = 23,142.91/x
  3. Step 3: Cross multiply
    42,262.33x = 58,322.91 × 23,142.91
  4. Step 4: Simplify right side
    42,262.33x = 1,349,761,857.07
  5. Step 5: Solve for x
    x = 1,349,761,857.07/42,262.33
  6. Step 6: Final answer
    x = 31,937.71

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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.