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Finding the Fourth Proportional to 42,105.01, 58,104.80 and 23,242

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Solution

The fourth proportional to 42,105.01, 58,104.80 and 23,242 is: 32,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,105.01 : 58,104.80 = 23,242 : x
  2. Step 2: Convert to fraction form
    42,105.01/58,104.80 = 23,242/x
  3. Step 3: Cross multiply
    42,105.01x = 58,104.80 × 23,242
  4. Step 4: Simplify right side
    42,105.01x = 1,350,471,645.39
  5. Step 5: Solve for x
    x = 1,350,471,645.39/42,105.01
  6. Step 6: Final answer
    x = 32,073.89

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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.