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Finding the Fourth Proportional to 42,066, 58,051.20 and 23,202.96

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Solution

The fourth proportional to 42,066, 58,051.20 and 23,202.96 is: 32,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,066 : 58,051.20 = 23,202.96 : x
  2. Step 2: Convert to fraction form
    42,066/58,051.20 = 23,202.96/x
  3. Step 3: Cross multiply
    42,066x = 58,051.20 × 23,202.96
  4. Step 4: Simplify right side
    42,066x = 1,346,959,671.55
  5. Step 5: Solve for x
    x = 1,346,959,671.55/42,066
  6. Step 6: Final answer
    x = 32,020.15

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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.