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Finding the Fourth Proportional to 42,365.82, 58,471.83 and 23,509.02

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Solution

The fourth proportional to 42,365.82, 58,471.83 and 23,509.02 is: 32,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,365.82 : 58,471.83 = 23,509.02 : x
  2. Step 2: Convert to fraction form
    42,365.82/58,471.83 = 23,509.02/x
  3. Step 3: Cross multiply
    42,365.82x = 58,471.83 × 23,509.02
  4. Step 4: Simplify right side
    42,365.82x = 1,374,615,420.91
  5. Step 5: Solve for x
    x = 1,374,615,420.91/42,365.82
  6. Step 6: Final answer
    x = 32,446.33

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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.