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Finding the Fourth Proportional to 42,338.32, 58,424.60 and 23,218

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Solution

The fourth proportional to 42,338.32, 58,424.60 and 23,218 is: 32,039.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,338.32 : 58,424.60 = 23,218 : x
  2. Step 2: Convert to fraction form
    42,338.32/58,424.60 = 23,218/x
  3. Step 3: Cross multiply
    42,338.32x = 58,424.60 × 23,218
  4. Step 4: Simplify right side
    42,338.32x = 1,356,502,362.80
  5. Step 5: Solve for x
    x = 1,356,502,362.80/42,338.32
  6. Step 6: Final answer
    x = 32,039.59

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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.