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Finding the Fourth Proportional to 42,219.56, 58,259.92 and 23,357

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Solution

The fourth proportional to 42,219.56, 58,259.92 and 23,357 is: 32,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,219.56 : 58,259.92 = 23,357 : x
  2. Step 2: Convert to fraction form
    42,219.56/58,259.92 = 23,357/x
  3. Step 3: Cross multiply
    42,219.56x = 58,259.92 × 23,357
  4. Step 4: Simplify right side
    42,219.56x = 1,360,776,951.44
  5. Step 5: Solve for x
    x = 1,360,776,951.44/42,219.56
  6. Step 6: Final answer
    x = 32,230.96

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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.