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Finding the Fourth Proportional to 42,106, 58,103.52 and 23,242.96

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Solution

The fourth proportional to 42,106, 58,103.52 and 23,242.96 is: 32,073.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106 : 58,103.52 = 23,242.96 : x
  2. Step 2: Convert to fraction form
    42,106/58,103.52 = 23,242.96/x
  3. Step 3: Cross multiply
    42,106x = 58,103.52 × 23,242.96
  4. Step 4: Simplify right side
    42,106x = 1,350,497,791.22
  5. Step 5: Solve for x
    x = 1,350,497,791.22/42,106
  6. Step 6: Final answer
    x = 32,073.76

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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.