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Finding the Fourth Proportional to 42,710.87, 58,943.63 and 23,848

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Solution

The fourth proportional to 42,710.87, 58,943.63 and 23,848 is: 32,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710.87 : 58,943.63 = 23,848 : x
  2. Step 2: Convert to fraction form
    42,710.87/58,943.63 = 23,848/x
  3. Step 3: Cross multiply
    42,710.87x = 58,943.63 × 23,848
  4. Step 4: Simplify right side
    42,710.87x = 1,405,687,688.24
  5. Step 5: Solve for x
    x = 1,405,687,688.24/42,710.87
  6. Step 6: Final answer
    x = 32,911.71

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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.